Question

Which expression is equivalent to

√81/100
A. √9/10
B. 9/10
C. 9/50
D. 9√10/10

Answer 1

Choice B is the correct answer.

Answer 2

Answer: Choice B) 9/10

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Work Shown:

`\sqrt{(81)/(100)}\\\\\\(√(81))/(√(100))\\\\\\(√(9^2))/(√(10^2))\\\\\\(9)/(10)\\\\\\`

Therefore,
`\sqrt{(81)/(100)}=(9)/(10)\\\\\\`

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Explanation:

I broke up the single square root to make a fraction of square roots. Then I rewrote 81 as 9^2, and 100 as 10^2. This is so the square roots cancel out with the squares.

The general rule is that
`\sqrt{\text{x}^2} = \text{x} \ \text{ , where x} \ge 0`