When a number is multiplied by itself, the answer is a perfect square.
For example, 25 is a perfect square because 5 x 5 is 25.
In how many ways can the number 1764 be written as the product (multiply) of two perfect squares?
Solution
1764 can be written as a product of two perfect squares in three ways.
- 4 x 441
- 9 x 196
- 36 x 49
(It can also be written as a product of three perfect squares 4 x 9 x 49)
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