Question

what is mean by Estimating the square roots​

Answer 1

Answer:

Estimating square root of a number

For estimating the number of digits in the square root of a number, we use method of bars. For example:

961−−−√ = 31 and 1369−−−−√ = 37

The bar is placed on pair of digits starting from the rightmost digit.

9¯¯¯61¯¯¯¯¯and13¯¯¯¯¯69¯¯¯¯¯

In both the numbers above, we have 2 bars, that means, their square root will have two digits.

In order to estimate the square root of a number, consider the following example:

The number whose square root is to be determined = 247

Since: 100 < 247 < 400, and 100−−−√2 = 10 and 400−−−√2 = 20.

Taking the square root we get: 10 < 247−−−√2 < 20

We are not very close to the number yet.

We also know that 152 = 225 and 162 = 256, therefore 15 < 247−−−√2 < 16

The number 247 is much closer to 256 than 225.

Hence 247−−−√2 is approximately equal to 16.

Step-by-step explanation:

hope it is helpful

please follow me