Question

Given that √2 = 1.414, √3 = 1.732, √5 = 2.236. Then the value of 1/√10 up to three decimal places is
A) 2.414
B) 0.316
C) 1.079
D) 3.162
how to do this?????

Answer 1

Answer :

At first rationalise the denominator of 1/√10.

$\frac{1}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } \\ \\ \frac{ \sqrt{10} }{( \sqrt{10} ) {}^{2} } \\ \\ \frac{ \sqrt{10} }{10} \\ \\ \frac{ \sqrt{2} \times \sqrt{5} }{10} \\ \\ \frac{1.414 \times 2.236}{10} \\ \\ \frac{3.161704}{10} \\ \\ = 0.3161704$

Hence, the answer is Option (B)

Answer 2

HeRe Is Your Ans

*****

$\frac{1}{ \sqrt{10} } \\ \\ \frac{1}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } \\ \\ \frac{ \sqrt{10} }{10} \\ \\ \frac{ \sqrt{2} \: \times \: \sqrt{10} }{10} \\ \\ \frac{1.414 \: \times \: 2.236}{10} \\ \\ \frac{3.161704}{10} \\ \\ 0.3161704$

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