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Test: Square Roots - SAT MCQ


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10 Questions MCQ Test Mathematics for SAT - Test: Square Roots

Test: Square Roots for SAT 2024 is part of Mathematics for SAT preparation. The Test: Square Roots questions and answers have been prepared according to the SAT exam syllabus.The Test: Square Roots MCQs are made for SAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Square Roots below.
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Test: Square Roots - Question 1

What is the square root of 169?

Detailed Solution for Test: Square Roots - Question 1

The square root of 169 is 13
because 13 x 13 = 169.

Test: Square Roots - Question 2

Which of the following numbers is a perfect square?

Detailed Solution for Test: Square Roots - Question 2

256 is a perfect square because √256 = 16, and 16 x 16 = 256.

Test: Square Roots - Question 3

Which of the following expressions is equivalent to √(36x2)?

Detailed Solution for Test: Square Roots - Question 3

√(36x2) = √(6x x 6x) = 6x

Test: Square Roots - Question 4

If √x = 7, then what is the value of x?

Detailed Solution for Test: Square Roots - Question 4

If √x = 7,
then
x = 7 x 7 = 49.

Test: Square Roots - Question 5

What is the value of y if y = √(81x2) and x = 3?

Detailed Solution for Test: Square Roots - Question 5

If y = √(81x2) and x = 3,
then y = √(81 x 32) = √(81 x 9) = √729 = 9 x 3 = 27.

Test: Square Roots - Question 6

What is the square root of 196?

Detailed Solution for Test: Square Roots - Question 6

The square root of 196 is a positive number, so we can eliminate options b) and d). 
The square root of 196 is 14, as 14 x 14 = 196.

Test: Square Roots - Question 7

 Simplify the expression: √(100x2) and what would be the answer?

Detailed Solution for Test: Square Roots - Question 7

√(100x2)
= √(10x x 10x)
= 10x

Test: Square Roots - Question 8

 Find the value of x if √(x2 - 6x) = 4.

Detailed Solution for Test: Square Roots - Question 8

If √(x2 - 6x) = 4, we can square both sides to get x2 - 6x = 16.
Solving for x, we get x2 - 6x - 16 = 0.
Factoring,
we find (x - 8)(x + 2) = 0,
so x = 8,-2.

Test: Square Roots - Question 9

If 2√a = 8, what is the value of a?

Detailed Solution for Test: Square Roots - Question 9

If 2√a = 8, we can first divide both sides by 2 to get √a = 4.
Squaring both sides, we find a = 16.

Test: Square Roots - Question 10

What is the square root of 1/9?

Detailed Solution for Test: Square Roots - Question 10

We can simplify 1/9 to √(1/3)2.
Then, we can take the square root of both sides: √(1/9) = 1/3.
Therefore, the answer is a) 1/3.

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