Find the square root of 2209.1. 432. 473. 374. 535. None of these.

1.	Find the square root of 2209.1. 432. 473. 374. 535. None of these.
Answer» Correct Answer - Option 2 : 47 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 ✓2209, unit digit must be 3 or 7 • Find tens digit by looking at number formed by first 2 digit. 16 < 22 < 25 (16 and 25 are squares of 4 and 5, so tens digit of square root will be 4. • Find the square root from the narrowed down options. ✓2209 = 43 or 47. To find this, we can find the square of number between these numbers ending in 5 i.e. 45. 45² = 2025 (for left part multiply tens digit with one more than tens digit, right part is 25) Clearly, ✓2209 = 47 (2209 is more than 2025)

Answer» Correct Answer - Option 2 : 47

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 ✓2209, unit digit must be 3 or 7

• Find tens digit by looking at number formed by first 2 digit.

16 < 22 < 25 (16 and 25 are squares of 4 and 5, so tens digit of square root will be 4.

• Find the square root from the narrowed down options.

✓2209 = 43 or 47. To find this, we can find the square of number between these numbers ending in 5 i.e. 45.

45² = 2025 (for left part multiply tens digit with one more than tens digit, right part is 25)

Clearly, ✓2209 = 47 (2209 is more than 2025)

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