Find square root of 5 correct to 2 decimal places. Hence,find the value of √[3+√5]/√[3-√5]
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The following steps to find the square root by long division method:
- Draw lines over pairs of digits from right to left.
- Find the greatest number whose square is less than or equal to the digits in the first group.
- Take this number as the divisor and quotient of the first group and find the remainder.
- Move the digits from the second group besides the remainder to get the new dividend.
- Double the first divisor and bring it down as the new divisor.
- Complete the divisor and continue the division.
- Put the decimal point in the square root as soon as the integral part is exhausted.
- Repeat the process till the remainder becomes zero.
√5 = 2.23 (correct upto two decimal place).
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