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Popular >

simplify sqrt(10100)

Solution

simplify

10100

Solution

10101

+1

Decimal Notation

100.49875 \dots

Solution steps

10100

Prime factorization of

10100 : 2^{2} \cdot 5^{2} \cdot 101

= 2^{2} \cdot 5^{2} \cdot 101

2^{2} \cdot 5^{2} \cdot 101 = 2^{2} 5^{2} 101

= 2^{2} 5^{2} 101

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 2 5^{2} 101

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 2 \cdot 5101

Multiply the numbers:

2 \cdot 5 = 10

= 10101

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Frequently Asked Questions (FAQ)

What is sqrt(10100) ?
The solution to sqrt(10100) is 10sqrt(101)