Question

find the square root of 184.96by prime factorization methods​

Answer 1

Step-by-step explanation:

Step 1 : Place bar on the integral parts (i.e 184) of the number in the usual and place bar on the decimal. place on the decimal. Place on every pair of digit beginning with the first decimal place then we get

1

ˉ

84

.

96

Step 2 : since 1

2

≤⊥<2

2

[Ref. image 1]

Now new dividend is 084 and we find new divisor in the similar manner as division method.

22×2=4,23×3=69,24×4=96>84

So the new divisor is 23 we get [Ref. image 2]

New dividend is 1596 to find new divisor

265×5=1325

266×6=1596

So we get the remainder is zero.

The square root of 184.96 is 13.6

Answer 2

Answer:

Resolving 6724 into prime factors we get:

6724=2×2×41×41

Taking one number out from each pair of the prime number we get

6724

=2×41

Thus square root will be 2×41=82