Question

Estimate the value of the following numbers to the nearest whole number(i) √97
(ii) √250
(iii) √780

Answer 1

Answer:

nearest whole number of √97 = 81

square root of 81 is 9

nearest whole number of √250 is 225

square root of 225 is 15

nearest whole number of √ 780 is 784

square root of 784 is 28

Answer 2

Answer:

Answer:

Square root of 97 to the nearest whole number is 10.

Square root of 250 to the nearest whole number is 16.

Square root of 780 to the nearest whole number is 30.

Step-by-step explanation:

A) \sqrt{97}97

Group the digits into pairs

For digits to the left of the decimal point, pair them from right to left.

For digits after decimal point, pair them from left to right.

Now we have, 97

Refer the attached figure a for further steps

So, √97 = 9.848

So, Square root of 97 to the nearest whole number is 10.

B) \sqrt{250}250

Group the digits into pairs

For digits to the left of the decimal point, pair them from right to left.

For digits after decimal point, pair them from left to right.

Now we have, 02   50

Refer the attached figure b for further steps

So, √250 = 15.811

So, Square root of 250 to the nearest whole number is 16.

C) \sqrt{780}780

Group the digits into pairs

For digits to the left of the decimal point, pair them from right to left.

For digits after decimal point, pair them from left to right.

Now we have, 07   80

Refer the attached figure c for further steps

So, √780 = 27.928

So, Square root of 780 to the nearest whole number is 30.