Show that 500 is not a perfect square.

Solution:

Given, the number is 500.

We have to show that 500 is not a perfect square.

Using prime factorisation,

So, 500 = 2 × 2 × 5 × 5 × 5

We observe that 5 occur without a pair.

Therefore, 500 is not a perfect cube.

✦ Try This: Show that 600 is not a perfect square.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 89

Show that 500 is not a perfect square

Summary:

It is shown that 500 is not a perfect cube.

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