Question

find the square root of 7056 by prime factorization

Answer 1

The square root of 7056 is 84.
Just divide 7056 by 2 and continue as long as the result is even.
7056 / 2 = 3528
3528 / 2 = 1764
1764 / 2 = 882
882 / 2 = 441

Since 441 is not even, let's divide it by 3 instead.
441 / 3 = 147

And 147 is not even, so let's divide that by 3 also.
147 / 3 = 49

Well, we know the square root of 49 is 7, right?

Now, what do we have?
2 * 2 * 2 * 2 * 3 * 3 * 7 * 7 = 7056

What does √(2 * 2 * 2 * 2 * 3 * 3 * 7 * 7) equal?
Easy! - It equals 2 * 2 * 3 * 7 = 84 !!

Hope it help you !
Please mark as brainliest .

Answer 2

2 7056
2 3528
2 1764
2 882
3 441
3 147
7 49
7 7
1

2*2*2*2*3*3*7*7
2*2*3*7
4*21
84