Find the square root of 31329.1. 1632. 1733. 1774. 1835. None of these

1.	Find the square root of 31329.1. 1632. 1733. 1774. 1835. None of these.
Answer» Correct Answer - Option 3 : 177 Concept used:- Trick to find square root of a number. Method and Calculation:- • Find the unit digit of square root by looking at unit digit of given number. For √31329, unit digit must be 3 or 7 • Find other two digits by looking at number formed by first 3 digit. 289 < 313 < 324 (289 and 313 are squares of 17 and 18, so remaining part of square root will be 17. • Find the square root from the narrowed down options. √31329 = 173 or 177. To find this, we multiply 17 × 18, which is equal to 306 and is less than 313. Hence the larger of two will be the square root Clearly, √31329 = 177

Find the square root of 31329.1. 1632. 1733. 1774. 1835. None of these.

Answer» Correct Answer - Option 3 : 177

Concept used:-

Trick to find square root of a number.

Method and Calculation:-

• Find the unit digit of square root by looking at unit digit of given number.

For √31329, unit digit must be 3 or 7

• Find other two digits by looking at number formed by first 3 digit.

289 < 313 < 324 (289 and 313 are squares of 17 and 18, so remaining part of square root will be 17.

• Find the square root from the narrowed down options.

√31329 = 173 or 177. To find this, we multiply 17 × 18, which is equal to 306 and is less than 313. Hence the larger of two will be the square root

Clearly, √31329 = 177

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