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Question

Find the square root of 64009.

The correct answer is

253

2502 = 62500 and 2602 = 67600, so the root lies between 250 and 260.

The number ends in 9, so the root must end in 3 or 7, giving 253 or 257.

Check: 2532 = 64009.

Hence, 253.

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Similar Questions

  1. If √x = 11, what is the value of x + √x?

  2. Which of the following is a perfect square of an even number?

  3. How many natural numbers are there between 11² and 12²?


Important Questions from Square and Square Root

  1. The addition of the squares of two numbers in squares is 221. What are those numbers?

  2. Find the value of \(\sqrt{9604} \).

  3. If (584)2 = 341056, then the value of square root of 34.1056 is:

  4. Which one of the following numbers is not a square of any natural number?

  5. The value of \(\sqrt{72+\sqrt{72 +\sqrt{72+.....\infty}}}\)   is :

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