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Popular >

simplify sqrt(2700)

Solution

simplify

2700

Solution

303

+1

Solution steps

2700

Prime factorization of

2700 : 2^{2} \cdot 3^{3} \cdot 5^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 33 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 33 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 303

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Frequently Asked Questions (FAQ)

What is sqrt(2700) ?
The solution to sqrt(2700) is 30sqrt(3)