RD Sharma Class 8 Math 3rd Chapter Squares and Square Roots Exercise 3.8 Solution

Exercise 3.8

1. Find the square root of each of the following correct toe there places of decimal.

(i) 5

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places.

Hence, the square root of 5 up to three decimal places is 2.236.

(ii) 7

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 7 up to three decimal places is 2.646.

(iii) 17

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

(iv) 20

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

    

Hence, the square root 17 up to three decimal places is 4.123

(v) 66

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 66 up to decimal places is 8.124.

(vi) 427

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 427 up to three decimal places is 20,664

(vii) 1.7

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 1.7 up to three decimal places is 1.304.

(viii) 23.1

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 23.1 up to three decimal places is 4.806.

(ix) 2.5

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 2.5 up to three decimal places is 1.581.

(x) 237.615

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places

Hence, the square root of 237.615 up to three decimal places is 15.415.

(xi) 15.3215

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places.

Hence, the square root of 15.325 up to three decimal places is 3.914.

(xii) 0.9

Solution:

We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places.

Hence, the square root of 0.9 up to three decimal places is 0.949

2. Find the square root of 12.0086 correct to four decimal places.

Solution:

Hence, √12.0068 =3.4651 approx.

Hence,

√12.0068 = 3.4651 approx

3. Find the square root of 11 correct to five decimal places.

Solution:

Hence, √11 =  3.316624

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