The product of two perfect squares is a perfect square. State whether the statement is true or false.

Solution:

Given, the product of two perfect squares is a perfect square.

We have to determine if the given statement is true or false.

Number obtained when a number is multiplied by itself is called the square of the number.

if m = n², then m is a perfect square where m and n are natural numbers.

Example: Consider two perfect squares 4 and 9

Product of two perfect squares = 4 × 9

= 36

Square of 6 = 36

Therefore, the product of two perfect squares is a perfect square.

✦ Try This: The product of two perfect cubes is a perfect cube. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 51

The product of two perfect squares is a perfect square. State whether the statement is true or false

Summary:

The given statement, ”The product of two perfect squares is a perfect square” is true

☛ Related Questions:

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