Question

find the square root √66049 by prime factorisation method.

Answer 1

We will now find the square root of 66049 with the prime factorisation method.

66049 / 257 = 257, this cannot be factorised further.

257 * 257 = 66049

257^2 = 66049

Answer 2

•To find:-

√66049

•solution:-

√66049 =  √257×257

we know that

Inside the radical sign, if the same number is repeated twice, take one number out of the radical sign.

so

we have to take only 257 because it has repeated twice

So the final value of

the square root √66049 is 257.