Question

Find the square root of the mixed fraction
7 half 18/49

Answer 1

7 integer 18/49 = 361/49

√(361/49)= 19/7

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Answer 2

Answer:

$\sqrt{7\frac{18}{49}} = 2\frac{5}{7}$

Step-by-step explanation:

To find,

The square root of $7\frac{18}{49}$

Solution:

Recall the property

$\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }$

The given fraction  $7\frac{18}{49}$.

First, we need to convert the given fraction into an improper fraction

$7\frac{18}{49}$ = $\frac{7X49+18}{49}$

= $\frac{343+18}{49}$

= $\frac{361}{49}$

$\sqrt{7\frac{18}{49} } = \sqrt{\frac{361}{49} }$

By applying the property, we get

$\sqrt{\frac{361}{49} } = \frac{\sqrt{361} }{\sqrt{49} }$

361 = 19×19

$\sqrt{361} = \sqrt{19X19}$ = 19

$\sqrt{49} = \sqrt{7X7}$ = 7

$\sqrt{\frac{361}{49} } = \frac{\sqrt{361} }{\sqrt{49} } = \frac{19}{7} = 2\frac{5}{7}$

∴$\sqrt{7\frac{18}{49}} = 2\frac{5}{7}$

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