Math, asked by Anonymous, 11 months ago

Using The Value √10=3.162, Find The Value Of 1/√10 correct to 3 decimal places

Answers

Answered by chanchalnimchaniya69
3

√10 = 3.162

so, 1/√10 = 1/ 3.162

= 0.316

hope it will help you

good luck

Answered by LovelyG
13

Answer:

\large{\underline{\boxed{\sf 0.316}}}

Step-by-step explanation:

Given that ;

  • √10 = 3.162

Now,

\implies  \dfrac{1}{ \sqrt{10} }

To rationalise the denominator, we need to multiply numerator and denominator by the rationalising factor i.e., √10.

 \implies  \frac{1}{ \sqrt{10} }  \times   \frac{ \sqrt{10} }{ \sqrt{10} }  \\  \\  \implies  \frac{ \sqrt{10} }{( \sqrt{10} ) {}^{2} }  \\  \\  \implies  \frac{ \sqrt{10} }{10}

Now, it is given that the value of √10 is 3.162.

 \implies  \frac{ \sqrt{10} }{10}  \\  \\  \implies  \frac{3.162}{10}  \\  \\  \implies 0.3162

On correcting it to three decimal places,

 \implies 0.316

Hence, the answer is 0.316.


AbhijithPrakash: Awesome..!!
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