Question

1: Find the square root of 10 by estimation.​

Answer 1

Answer:

3.16227766.............

Answer 2

The perfect squares near to 10 are assumed as 9 and 16 respectively,

i.e. 9 < 10 < 16 or

When the numbers are changed into ² form –

3² < 10 < 4²

So, we can guess that the answer is between number 3 and 4, i.e. 3 < √10 < 4

So let us try here with the with a number Expressed as 3.5 as :

3 < 3.5 < 4

but, 3.5 × 3.5 = 12.25 > 10

i.e. 3² < 10 < (3.5)²

→ let us further reduce the number 3.5 to 3.2

So, we can say 9.61 < 10 < 10.24

or (3.1)² < 10 < (3.2)²

but 10.24 is much closer to the number 10 as compared to 9.61.

So, kindly we can say that √10 is 3.2 approximately.

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Learn More :

Question :

Find the square root of 410 by estimation

Link :

https://brainly.in/question/2693071 (2nd answer)

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