Question

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

Answer 1

√10 = 3.162

so, 1/√10 = 1/ 3.162

= 0.316

hope it will help you

good luck

Answer 2

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.