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Question # 2:

The smallest number that should be multiplied to 40 x 63 x 100 to make it a perfect square number is 70. To solve for this, we will apply the concept of factoring. We will factor the product of 40 x 63 x 100.

Solutions:

Find the product of 40 x 63 x 100.

40 x 63 x 100 = 2520 x 100 = 252 000

Find the factors of 252 000.

252 000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7

Separate the factors that are considered squared.

252 000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7

Note that the right side of the equation already gives us the number we are looking for since 2, 5, and 7 needs to be multiplied with 2, 5, and 7 to make it perfect square and 2 x 5 x 7 is equivalent to 70.

To check:

=

where n = 70

= 4200

Note that the product of 40 x 63 x 100 and 70 is a perfect square whose square root is 4200.

What is a perfect square: brainly.ph/question/371718

To see more examples of perfect square numbers click this link: brainly.ph/question/7290848

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