Question

Square root of 99, correct to two decimal places

Answer 1

$\sqrt{99}=9.95$ (correct to 2D)

Step-by-step explanation:

Refer to the attached image.

• We find the square root of 99 using long division method.

• First we draw an upper left arrow for 99 and take $9^{2}=81$. So quotient = 9 and remainder = 18.

• After putting a decimal point next to our quotient 9, we take two 0s to the right of the remainder 18. Then we double the quotient 9, that is 18 and put 9 right to it. And use 189 × 9 = 1701. So quotient = 9.9 and remainder = 99.

We repeat this for two more steps and find,

$\sqrt{99}=9.949...\approx 9.95$ (correct to 2D)

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