Question

What is square root of 1764__??

Answer 1

Answer:

$\huge\underline\bold\red{AnswEr}$

1764 | 2

882 | 2

441 | 3

147 | 3

49 | 7

7 | 7

1

What coincidence! (Of course it is not. Numbers in tests are often chosen to give whole numbers as answers)

So, 1764 = 2² * 3² * 7²

and √(1764) = 2 * 3 * 7 = 42

Answer 2

The square root of 1764 by prime factorization, we get

1764 = 2 x 2 x 3 x 3 x 7 x 7.  

√1764 = √(2 x 2 x 3 x 3 x 7 x 7)

= 2 x 3 x 7

Therefore, √1764 = 42.