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Simplify the expression inside the square root in the numerator.

March 30, 2026Biology

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Answer

\sqrt{6}

6 steps

Simplify the expression inside the square root in the numerator.
$\sqrt{25-1} = \sqrt{24}$
Simplify the square root in the denominator.
$\sqrt{4} = 2$
Rewrite the expression with the simplified numerator and denominator.
$\frac{\sqrt{24}}{2}$
Simplify $\sqrt{24}$ by finding its prime factors.
$\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}$
Substitute the simplified $\sqrt{24}$ back into the expression.
$\frac{2\sqrt{6}}{2}$
Cancel out the common factor of 2 in the numerator and denominator.
$\frac{2\sqrt{6}}{2} = \sqrt{6}$
The final answer is $\sqrt{6}$ .

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