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Schach [20]
3 years ago
6

Is the product of 2 perfect squares always a perfect square?

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
<span> The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>
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