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Question #0e8ab

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Answer 1 · 2016-11-23T06:25:31

Assuming you're asking what the value of $\sqrt{56.25}$ $sqrt(56.25)$ is:

The answer is: $\frac{15}{2} or 7.5$ $15/2 or 7.5$

Explanation:

First:

Convert $56.25$ $56.25$ to a fraction.

$56 + \frac{1}{4} = \frac{224}{4} + \frac{1}{4} = \frac{225}{4}$ $56+1/4=224/4+1/4=225/4$

Then take the square root of this value and simplify:

$\sqrt{\frac{225}{4}} = \frac{\sqrt{225}}{\sqrt{4}} = \frac{\sqrt{9} \cdot \sqrt{25}}{2} = \frac{3 \cdot 5}{2} = \frac{15}{2} = 7.5$ $sqrt(225/4)=sqrt(225)/sqrt4=(sqrt9*sqrt25)/2=(3*5)/2=15/2=7.5$

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