If √10 = 3.162 then find the value of 1 / √10

Square root terms in the denominator can easily be rationalized to find the value.

Answer: The value of 1/√10 comes out to be 0.3162.

Explanation:

Let √10 = 3.162 = a

We need to find the value of 1 / a

Let us rationalize 1 / a with a

Therefore, on rationalizing we obtain:

a / a² = √10 / 10

⇒ 1 / a = a / a² = 3.162 / 10 = 0.3162

Thus the value of 1 / √10 comes out to be 0.3162.