SQUARE ROOT OF DECIMAL NUMBERS BY DIVISION METHOD

Simplify the square roots.

Problem 1 :

√35.88

Solution :

Step 1 :

We decompose the value that we find before the decimal as a product of two same values.

5 x 5 = 25 but 6 x 6 = 36 > 35

So, we choose 5 x 5 = 25.

Step 2 :

Do the subtraction, bring down the next two digits to the next step.

Step 3 :

Multiply the quotient by 2 and put it outside of division. 

Step 4 :

2 x 5 = 10

Near 10, we have to use one new number, multiply this value by the value that we have written at the top.

109 x 9 = 981 < 1088

Repeat step 2 .

So, the square root of 35.88 is 5.989.

Problem 2 :

√36.46

Solution :

So, the square root of 36.46 is 6.038.

Problem 3 :

√89.87

Solution :

So, the square root of 89.87 is 9.479.

Problem 4 :

√99.80

Solution :

So, the square root of 99.80 is 9.989.

Problem 5 :

√62.25

Solution :

So, the square root of 62.25 is 7.889.

Problem 6 :

√97.81

Solution :

So, the square root of 97.81 is 9.889.