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All questions of Squares and Square Roots for Class 8 Exam
If x² = 49, what could be the value of x?- a)7 only
- b)-7 only
- c)49
- d)7 or -7
Correct answer is option 'D'. Can you explain this answer?
If x² = 49, what could be the value of x?
a)
7 only
b)
-7 only
c)
49
d)
7 or -7
 | EduRev Class 8 answered |
The equation x² = 49 has two solutions: x = 7 or x = -7. This is important in algebra as it illustrates the concept of positive and negative roots.
What is the square root of 0.04?- a)0.3
- b)0.4
- c)0.2
- d)0.1
Correct answer is option 'C'. Can you explain this answer?
What is the square root of 0.04?
a)
0.3
b)
0.4
c)
0.2
d)
0.1
| | EduRev Class 8 answered |
The square root of 0.04 is 0.2 because 0.2 × 0.2 = 0.04. This illustrates how square roots can also be applied to decimal numbers.
Which method can be used to determine if a number is a perfect square?- a)Addition
- b)Prime factorization
- c)Subtraction
- d)Multiplication
Correct answer is option 'B'. Can you explain this answer?
Which method can be used to determine if a number is a perfect square?
a)
Addition
b)
Prime factorization
c)
Subtraction
d)
Multiplication
 | Trisha Vashisht answered |
To determine if a number is a perfect square, you can factor it into primes and check if all prime factors can be paired. For instance, 36 = 2² × 3² is a perfect square because all primes are paired.
How many zeros will the square of a number with three zeros at the end have?- a)6
- b)2
- c)3
- d)1
Correct answer is option 'A'. Can you explain this answer?
How many zeros will the square of a number with three zeros at the end have?
a)
6
b)
2
c)
3
d)
1
| | Trisha Vashisht answered |
A number with n zeros at the end will have 2n zeros when squared. Therefore, if a number has 3 zeros, its square will have 2 × 3 = 6 zeros.
Which of the following pairs of numbers will yield a perfect square when multiplied?- a)7 and 8
- b)3 and 5
- c)4 and 6
- d)2 and 2
Correct answer is option 'D'. Can you explain this answer?
Which of the following pairs of numbers will yield a perfect square when multiplied?
a)
7 and 8
b)
3 and 5
c)
4 and 6
d)
2 and 2
| | EduRev Class 8 answered |
The pair 2 and 2 will yield 4, which is a perfect square because 2 × 2 = 4. Recognizing pairs that form perfect squares is useful in number theory.
Which of the following squares ends with the digit 6?- a)14
- b)4
- c)6
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
Which of the following squares ends with the digit 6?
a)
14
b)
4
c)
6
d)
All of the above
 | C K Academy answered |
The squares of 4 (which is 16), 6 (which is 36), and 14 (which is 196) all end with the digit 6. This is part of the properties of square numbers.
What is the result when you square a negative number?- a)Always positive
- b)Undefined
- c)Zero
- d)Always negative
Correct answer is option 'A'. Can you explain this answer?
What is the result when you square a negative number?
a)
Always positive
b)
Undefined
c)
Zero
d)
Always negative
| | C K Academy answered |
The square of a negative number is always positive because multiplying two negative numbers results in a positive number. For example, (-5) × (-5) = 25.
Which of the following is true about the square of a decimal number?- a)It cannot be a perfect square.
- b)It has double the number of decimal places.
- c)It has the same number of decimal places as the original.
- d)It has one more decimal place than the original.
Correct answer is option 'B'. Can you explain this answer?
Which of the following is true about the square of a decimal number?
a)
It cannot be a perfect square.
b)
It has double the number of decimal places.
c)
It has the same number of decimal places as the original.
d)
It has one more decimal place than the original.
| | Trisha Vashisht answered |
The square of a decimal number has double the number of decimal places compared to the original. For example, squaring 0.1 results in 0.01, which has 2 decimal places.
Which of the following statements about squares is true?- a)The square of an even number is always odd.
- b)The square of zero is negative.
- c)The square of any number is negative.
- d)The square of an odd number is always odd.
Correct answer is option 'D'. Can you explain this answer?
Which of the following statements about squares is true?
a)
The square of an even number is always odd.
b)
The square of zero is negative.
c)
The square of any number is negative.
d)
The square of an odd number is always odd.
| | Trisha Vashisht answered |
The square of an odd number is indeed always odd. For example, 3² = 9 and 5² = 25. On the other hand, the squares of even numbers are always even, and the square of zero is zero, which is not negative.
Which of the following statements about the square of a number is false?- a)The square of an even number is even.
- b)The square of an odd number is even.
- c)The square of zero is zero.
- d)The square of any number is non-negative.
Correct answer is option 'B'. Can you explain this answer?
Which of the following statements about the square of a number is false?
a)
The square of an even number is even.
b)
The square of an odd number is even.
c)
The square of zero is zero.
d)
The square of any number is non-negative.
| | EduRev Class 8 answered |
The statement that the square of an odd number is even is false. Odd numbers squared remain odd. For example, 3² = 9, which is odd.
What is the square root of 64?- a)6
- b)9
- c)8
- d)7
Correct answer is option 'C'. Can you explain this answer?
What is the square root of 64?
a)
6
b)
9
c)
8
d)
7
| | EduRev Class 8 answered |
The square root of a number is the value that, when multiplied by itself, gives the original number. Here, 8 × 8 = 64, so the square root of 64 is 8. This understanding is crucial for simplifying expressions in algebra.
What is the square of 0.5?- a)1
- b)0.5
- c)0.25
- d)0.75
Correct answer is option 'C'. Can you explain this answer?
What is the square of 0.5?
a)
1
b)
0.5
c)
0.25
d)
0.75
| | Trisha Vashisht answered |
The square of 0.5 is 0.25 because 0.5 × 0.5 = 0.25. This shows how squaring decimal values works similarly to whole numbers.
What is the approximate square root of 50 rounded to the nearest integer?- a)7
- b)8
- c)6
- d)5
Correct answer is option 'A'. Can you explain this answer?
What is the approximate square root of 50 rounded to the nearest integer?
a)
7
b)
8
c)
6
d)
5
| | C K Academy answered |
The square root of 50 is approximately 7.07, which rounds to 7. This demonstrates how to estimate square roots of non-perfect squares.
Which of the following is a perfect square?- a)50
- b)25
- c)20
- d)30
Correct answer is option 'B'. Can you explain this answer?
Which of the following is a perfect square?
a)
50
b)
25
c)
20
d)
30
| | EduRev Class 8 answered |
A perfect square is a number that has an integer as its square root. 25 is a perfect square because 5 × 5 = 25. In contrast, 20, 30, and 50 do not have integer square roots.
What is the square root of 1.44?- a)1.3
- b)1.1
- c)1.2
- d)1.4
Correct answer is option 'C'. Can you explain this answer?
What is the square root of 1.44?
a)
1.3
b)
1.1
c)
1.2
d)
1.4
| | Trisha Vashisht answered |
The square root of 1.44 is 1.2 since 1.2 × 1.2 = 1.44. This shows how square roots can be calculated for decimal values as well.
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