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Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1 PDF Download

Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1

Section 1: 
Squaring and Cubing (Making Squares and Cubes)

Q1. 6 × 6 = ? (Square of 6)Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1Solution: 36

Multiply 6 by itself 2 times: 6 × 6 = 36. So, it’s 36.

Q2. 3 × 3 × 3 = ? (Cube of 3)
Solution: 27
Multiply 3 by itself 3 times: 3 × 3 = 9, then 9 × 3 = 27. So, it’s 27.

Q3. 4 × 4 × 4 = ? (Cube of 4)
Solution: 64
Multiply 4 by itself 3 times: 4 × 4 = 16, then 16 × 4 = 64. So, it’s 64.

Q4. 11 × 11 = ? (Square of 11)
Solution: 121
Explanation: Multiply 11 by itself 2 times: 11 × 11 . So, it’s 121.

Section 2: 
Square Roots and Cube Roots (Finding the Number)

Q5. What number times itself is 25? (Square root of 25)
Solution: 5
Explanation: Pair 25 as 25. Last digit is 5, so it’s 5 (5 × 5 = 25).

Q6. What number times itself 3 times is 8? (Cube root of 8)
Solution: 2
Explanation: Try 2: 2 × 2 = 4, 4 × 2 = 8. It fits! So, it’s 2.

Q7. What number times itself is 64? (Square root of 64)
Solution: 8
Explanation: Pair 64 as 64. Last digit is 4, so it could be 2 (2 × 2 = 4) or 8 (8 × 8 = 64). Since it’s 64, it’s 8.

Q8. What number times itself 3 times is 27? (Cube root of 27)
Solution: 3
Explanation: Try 3: 3 × 3 = 9, 9 × 3 = 27. It fits! So, it’s 3.

Q9. You have 64 blocks in a cube shape. How many blocks on each side? (Cube root of 64)
Solution: 4
Explanation: Try 4: 4 × 4 = 16, 16 × 4 = 64. It fits! So, each side has 4 blocks.

The document Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1 is a part of the Class 1 Course Vedic Math for Junior Classes - English.
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FAQs on Worksheet Solution: Square and Cube Root - Vedic Math for Junior Classes - English - Class 1

1. What are the basic steps to square a number?
Ans. To square a number, you simply multiply the number by itself. For example, to square 4, you calculate 4 x 4 = 16. This process can be applied to any real number.
2. How do you find the cube of a number?
Ans. To find the cube of a number, you multiply the number by itself three times. For instance, to find the cube of 3, you compute 3 x 3 x 3 = 27.
3. What is the difference between square roots and cube roots?
Ans. A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4. A cube root, on the other hand, is a value that, when multiplied by itself three times, yields the original number. For example, the cube root of 27 is 3.
4. How do you calculate the square root of a number?
Ans. To calculate the square root of a number, you can use several methods: prime factorization, estimation, or a calculator. For example, the square root of 25 is 5 because 5 x 5 = 25.
5. Can all numbers have real square roots and cube roots?
Ans. Yes, all non-negative numbers have real square roots. However, negative numbers do not have real square roots because no real number multiplied by itself can yield a negative result. All numbers (positive and negative) have real cube roots, as every number can be expressed as a cube.
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