Question

If√5=2.236 ,then the value of 1/√5
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Answer 1

If √5 = 2.236 , then the value of 1/√5 = 0.4472

Given :

√5 = 2.236

To find :

The value of 1/√5

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that √5 = 2.236

Step 2 of 2 :

Find the required value

$\displaystyle \sf{ \frac{1}{ \sqrt{5} } }$

Multiplying both of the numerator and denominator by √5 we get

$\displaystyle \sf{ = \frac{ \sqrt{5} }{ \sqrt{5} \times \sqrt{5} } }$

$\displaystyle \sf{ = \frac{ \sqrt{5} }{ 5 } }$

$\displaystyle \sf{ = \frac{2.236}{ 5 } }$

$\displaystyle \sf{ = \frac{2.236 \times 2}{ 5 \times 2 } }$

$\displaystyle \sf{ = \frac{4.472}{ 10 } }$

$\displaystyle \sf{ = 0.4472 }$

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