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8 grade maths

How do you find the square root of 189?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the square root of 189, you can follow these steps:

Estimate the Square Root: Begin by estimating the square root of 189. Since 189 is between 144 (which is 12²) and 196 (which is 14²), we know that the square root of 189 is between 13 and 14.

Use Long Division Method or a Calculator: To get a more accurate answer, you can use a calculator or apply the long division method. Using a calculator, the square root of 189 is approximately 13.75.

Check by Squaring the Result: You can check your answer by squaring 13.75. 13.75 × 13.75 = 189.0625, which is very close to 189.

Therefore, the square root of 189 is approximately 13.75.