Will the sum of two perfect squares always be a perfect square? What about their difference and their product?
Answers
Answered by
1
✨✨Suppose that one of the squares is
x
2
and the other is
y
2
.
Their product,
(
x
2
)
(
y
2
)
will be equal to
(
x
y
)
2
, which is also a perfect square.
By the same reason, the product of any number of perfect squares is a perfect square.
Let's take an example to confirm this.
(
27
)
2
×
(
31
)
2
=
729
×
961
=
700
,
569
√
700569
=
837✨✨
Answered by
2
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