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

True

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False

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Solution

The correct option is A True
Let us consider two perfect squares
$6^{2} = 36$
$9^{2} = 81$
$36 x 81 = 2916$
$2916$ is the square of $54$
$54 x 54 = 2916$
Hence, the product of two perfect squares is a perfect square $.$

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

The correct option is A TrueLet us consider two perfect squares62=3692=8136x81=29162916 is the square of 5454x54=2916Hence, the product of two perfect squares is a perfect square.

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

The correct option is A True
Let us consider two perfect squares
$6^{2} = 36$
$9^{2} = 81$
$36 x 81 = 2916$
$2916$ is the square of $54$
$54 x 54 = 2916$
Hence, the product of two perfect squares is a perfect square $.$