To evaluate the root \sqrt{100}.

Ava-May Nelson

Ava-May Nelson

Answered question

2021-10-19

To evaluate the root 100.

Answer & Explanation

lamusesamuset

lamusesamuset

Skilled2021-10-20Added 93 answers

Concept used:
Find the prime factors of the number inside the factor and then take out a number out side of the root for each pair.
Calculation:
The prime factorization of 100 is 100=2×2×5×5.
Thus, we can evaluate the root as shown below.
100=2×2×5×5
=(2×2)×(5×5) (Make pairs of same numbers)
=2
×5 (Take out one number for each pair out side the root)
=10
Conclusion:
The value of 100 is 10.

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