Question

estimate the value of √97 to nearest whole number

Answer 1

10^2 = 100, 9^2 = 81

It lies between 81 and 100.

Since 97 is very close to 100, The nearest whole number will be 10.

Answer 2

Answer:

The estimate whole number of $\sqrt{97}$ is 10.

Step-by-step explanation:

Given : Expression $\sqrt{97}$

To find : The estimate value of the given expression to nearest whole number.

Solution :

Now, we estimate it by taking the square of 10 and 9

$10^2=100$

$9^2=81$

So, 97 lies between 100 and 81

i.e. $81<97<100$

or $9^2<97<10^2$

Taking root in the inequality,

$9<\sqrt{97}<10$

So, $\sqrt{97}$ value lies between 9 and 10.

Closest value is 10.

Therefore, The estimate whole number of $\sqrt{97}$ is 10.