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Popular >

simplify sqrt(3300)

Solution

simplify

3300

Solution

1033

+1

Solution steps

3300

Prime factorization of

3300 : 2^{2} \cdot 3 \cdot 5^{2} \cdot 11

= 2^{2} \cdot 3 \cdot 5^{2} \cdot 11

2^{2} \cdot 3 \cdot 5^{2} \cdot 11 = 2^{2} 5^{2} 3 \cdot 11

= 2^{2} 5^{2} 3 \cdot 11

Apply radical rule:

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

2^{2} = 2

= 2 5^{2} 3 \cdot 11

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5 3 \cdot 11

Multiply the numbers:

2 \cdot 5 = 10

= 10 3 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= 1033

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Frequently Asked Questions (FAQ)

What is sqrt(3300) ?
The solution to sqrt(3300) is 10sqrt(33)