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Simplify the square root of 9/16.

March 31, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{3}{4}

4 steps

Rewrite the expression using the property of square roots for fractions.
The square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator.
$\sqrt{\frac{9}{16}} = \frac{\sqrt{9}}{\sqrt{16}}$
Calculate the square root of the numerator.
$\sqrt{9} = 3$
Calculate the square root of the denominator.
$\sqrt{16} = 4$
Substitute the values back into the expression.
$\frac{\sqrt{9}}{\sqrt{16}} = \frac{3}{4}$
The value is $\frac{3}{4}$ .