If -5-2-236 and -10-3-162- the value of -10-5-2 on simplifying is

The correct option is C 0.655 √(2)=√(10)/√(5)=3.162/2.236=1.414 Put the given value in the expression √(10) √(5)/√(2)=0.655 ...

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Estimating the Square Root

If √5=2.236...

Question

If $\sqrt{5} = 2.236$ and $\sqrt{10} = 3.162, t h e v a l u e o f \frac{\sqrt{10} - \sqrt{5}}{\sqrt{2}}$ on simplifying is

0.455

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0.855

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0.655

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0.755

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Solution

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\sqrt{5} = 2.236

\sqrt{10} = 3.162

\frac{\sqrt{10} - \sqrt{5}}{\sqrt{2}}

\sqrt{5} = 2.236

\sqrt{10} = 3.162

\frac{\sqrt{10} - \sqrt{5}}{\sqrt{2}}

\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} + \sqrt{5} - \sqrt{80}}

\sqrt{5} = 2.236 a n d \sqrt{10} = 3.162

Evaluate $\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}$ , it us given that $\sqrt{5} = 2.236$ and $\sqrt{10} = 3.162$

\frac{15}{\sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80}}

\sqrt{5} = 2.236

\sqrt{10} = 3.162

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