Question

Find the least number that must be multiplied to make 8820 a perfect square. Also find the square root of the square number

step by step

Answer 1

Step-by-step explanation:

The prime factors of 8820

=8820=2*2*3*3*7*7*5(grouping the prime factors in equal pairs we get).

=(2*2)*(3*3)*(7*7)*5.

Here,prime factor 5 is left out so,

multiply by 5 we get,

=8820*5

=(2*2)*(3*3)*(7*7)*(5*5).

=(2*3*7*5)*(2*3*7*5)

=210*210

=(210)^2

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