Question

Find the smallest whole number by which 693 is multiplied so that it become a perfect square

Answer 1

Answer:

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Answer 2

Given:

693 is multiplied by a whole number to become a perfect square

To Find:

The smallest possible whole number

Solution:

Write or in prime factors:

693 = 3 x 3 x 7 x 11

693 = 3² x 7 x 11

Find k where k is the smallest number to make 693 a perfect square:

693 = 3² x 7 x 11

693k= 3² x 7² x 11²

k = 7 x 11

k = 77

Answer: The smallest number is 77.