Question

if root 5 equals to 2.236 and root 10 is equals to 3.162 find the value of root 10 minus root 5 upon root 2

Answer 1

Hey friend,
Here is the answer you were looking for:
$\frac{ \sqrt{10} - \sqrt{5} }{ \sqrt{2} } \\ \\ on \: rationalizing \: the \: denominator \: we \: get \\ \\ = \frac{ \sqrt{10} - \sqrt{5} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ = \frac{ \sqrt{10} \times \sqrt{2} - \sqrt{5} \times \sqrt{2} }{ {( \sqrt{2} )}^{2} } \\ \\ = \frac{ \sqrt{20} - \sqrt{10} }{2} \\ \\ (splitting) \\ \\ = \frac{ \sqrt{2 \times 2 \times 5} - \sqrt{10} }{2} \\ \\ = \frac{2 \sqrt{5} - \sqrt{10} }{2} \\ \\ = \frac{2 \times 2.236 - 3.162}{2} \\ \\ = \frac{4.472 - 3.162}{2} \\ \\ = \frac{1.31}{2} \\ \\ = 0.655$


Hope this helps!!!

@Mahak24

Thanks...
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Answer 2

Root 5 × root 2 - root 5 / 2 root 2

Taking root 5 common in numerator we get

Root 5 ( root 2 _ 1) / 2 root 2

Substituting values of root 5 = 2.236 and root 2 as 1.414 we get 0.327