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

1 answer:

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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A small explanation would be really appreciated

shutvik [7]

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles

Topic: angle properties

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