Which of the following is the best estimate of the square root of 90 ?
a. 9.1
b. 9.4
C. 9.7

To get the best estimate of the square root of 90 we will apply a short cut.

Square root of 90 will be in the form of a mixed fraction as or in decimals.

Here, a = square root of a perfect square number nearest to 90.

b = Difference of 90 and the perfect square number

c = Double of 'a'

Nearest square number to 90 = 81

Square root of 81 = 9

So, a = 9

Difference in 90 and 81 = 9

So, b = 90 - 81 = 9

And double of 9 = 18

Therefore, c = 18

Hence,

So the nearest number given in the option may be 9.4

Therefore, Option B will be the answer.

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