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The square root of a perfect square of n digits will have (n+12) digits, if n is odd. - Mathematics

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Question

The square root of a perfect square of n digits will have `((n + 1)/2)` digits, if n is odd.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

Given: Square root of a perfect square of n digit.

If perfect square of 3 digits then the square root has 2 digits.

i.e. `(3 + 1)/2 = 2`

If perfect square of 5 digits then the square root has 3 digits.

i.e. `(5 + 1)/2 = 3`

Which is true.

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Chapter 3: Square-Square Root and Cube-Cube Root - Exercise [Page 92]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 3 Square-Square Root and Cube-Cube Root
Exercise | Q 72. | Page 92

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