Question

Spare root of 8100 using prime factorisam

Answer 1

Answer:

90

Step-by-step explanation:

divide 8100 by 90 then again 90

the answer will be 90square equals to 8100

Answer 2

Answer:

90

Step-by-step explanation:

We need to find the square root of 8100 by prime factorisation method.

Prime factorisation method: The method of prime factorization is used to “break down” or express a given number as a product of prime numbers. More so, if a prime number occurs more than once in the factorization, it is usually expressed in exponential form to make it look more compact.

Square root of a number is that one number such that if we multiply it twice we get that number. For example 4 is the square root of 16.

We can right 8100 in terms of prime numbers as:

8100 = 5 x 5 x 3 x 3 x 3 x 3 x 2 x 2.

All the numbers present above are prime numbers 2, 3, 5.

On taking square root of both sides we get,

8100−−−−√=5×5×3×3×3×3×2×2−−−−−−−−−−−−−−−−−−−−−−−√

It can also be written as 8100−−−−√=52×32×32×22−−−−−−−−−−−−−√=5×3×3×2=90.

Hence, the square root of 8100 is 90.