Question

Find the square root of:

5.4756

Accepted Answer

Follow the given steps in long division method:

$1 .$ Make a pair of two numbers (from right side in integral part and left side in decimal part) and put a bar over every pair of digits. If there are an odd number of digits, the extreme left digit will be without a bar sign above it.

$2 .$ Think of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.

$3 .$ To find the new divisor, multiply the earlier quotient by two and write it leaving a blank space next to it. Select the largest digit for the unit place of the divisor such that the new number, when multiplied by the new digit at unit’s place, is equal to or less than the dividend.

$4 .$ Repeat the steps till we get remainder as zero.

$5 .$ Put the decimal point in the square root as soon as the integral part is exhausted.

$\begin{matrix} 2 . & 3 & 4 \\ 2 & \bar{5 .} & \bar{47} & \bar{56} \\ 4 \\ 4 & 3 & 1 & 47 \\ 1 & 29 \\ 4 & 6 & 4 & 18 & 56 \\ 18 & 56 \\ 00 \end{matrix}$

Hence, required square root is $2.34$ .

Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 20: Try these

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 20: Try these

Questions from Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 20: Try these with Hints & Solutions

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