How do you simplify $\sqrt{\frac{24}{26}}$ $sqrt(24/26)$ ?

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How do you simplify $\sqrt{\frac{24}{26}}$ $sqrt(24/26)$ ?

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Answer 1 · 2018-03-18T08:37:07

$\frac{2 \sqrt{39}}{13}$ $(2sqrt39)/13$

Explanation:

Rationalise the denominator:
$\frac{\sqrt{24} \cdot \sqrt{26}}{\sqrt{26} \cdot \sqrt{26}} = \frac{\sqrt{624}}{26}$ $(sqrt24 * sqrt26)/(sqrt26 * sqrt26) = sqrt624 / 26$
Simplify the numerator into $x \sqrt{y}$ $xsqrty$ form and simplify:
$\sqrt{624} = \sqrt{39} \cdot \sqrt{16} = 4 \sqrt{39}$ $sqrt624 = sqrt39 * sqrt16 = 4sqrt39$
$(4sqrt39) / 26 = (cancel(4)sqrt39) / cancel(26)$
$(2sqrt39)/13$

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How do you simplify $\sqrt{\frac{24}{26}}$ $sqrt(24/26)$ ?

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How do you simplify $\sqrt{\frac{24}{26}}$ $sqrt(24/26)$ ?