The square roots of two numbers x, y are 25 and 12. It is given that x < y. Choose the correct options.

\sqrt{x}

= 12

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\sqrt{x}

= 25

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\sqrt{y}

= 12

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\sqrt{y}

= 25

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Solution

The correct option is D $\sqrt{y}$ = 25
Square root of a smaller number will be less than than the square root of the larger number.
$x < y ⟹ \sqrt{x} < \sqrt{y}$
$12 < 25 \Rightarrow \sqrt{x} = 12$ and $\sqrt{y} = 25$

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