Question

Find the square root of 25 by 12

Answer 1

Hey friend,
Here is the answer you were looking for:
$\sqrt{ \frac{25}{12} }$
On splitting we get,

$\sqrt{ \frac{5 \times 5}{2 \times 2 \times 3} } \\ \\ = \sqrt{ \frac{ {5}^{2} }{ {2}^{2} \times 3} } \\ \\ = \frac{5}{2 \sqrt{3} }$

If we want rational denominator, then :

$\frac{5}{2 \sqrt{3} }$

Rationalizing the denominator we get:

$\frac{5}{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{2 \sqrt{3} } \\ \\ = \frac{5 \times 2 \sqrt{3} }{ {(2 \sqrt{3} )}^{2} } \\ \\ = \frac{10 \sqrt{3} }{12} \\ \\ = \frac{5 \sqrt{3} }{6}$

We know the value of √3 = 1.732

Then,

= 5 × 1.732 / 6

= 8.66 / 6

= 1.443 (approx)


Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
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