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Popular >

simplify sqrt(36900)

Solution

simplify

36900

Solution

3041

+1

Decimal Notation

192.09372 \dots

Solution steps

36900

Prime factorization of

36900 : 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 41

= 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 41

2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 41 = 2^{2} 3^{2} 5^{2} 41

= 2^{2} 3^{2} 5^{2} 41

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 5^{2} 41

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5^{2} 41

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 3 \cdot 541

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 3041

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Frequently Asked Questions (FAQ)

What is sqrt(36900) ?
The solution to sqrt(36900) is 30sqrt(41)