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Popular >

simplify sqrt(3267)

Solution

simplify

3267

Solution

333

+1

Decimal Notation

57.15767 \dots

Solution steps

3267

Prime factorization of

3267 : 3^{3} \cdot 1 1^{2}

= 3^{3} \cdot 1 1^{2}

Apply exponent rule:

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

3^{3} \cdot 1 1^{2} = 3^{2} \cdot 3 \cdot 1 1^{2}

= 3^{2} \cdot 3 \cdot 1 1^{2}

3^{2} \cdot 3 \cdot 1 1^{2} = 3^{2} 3 1 1^{2}

= 3^{2} 3 1 1^{2}

Apply radical rule:

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

3^{2} = 3

= 33 1 1^{2}

Apply radical rule:

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

1 1^{2} = 11

= 33 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= 333

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Frequently Asked Questions (FAQ)

What is sqrt(3267) ?
The solution to sqrt(3267) is 33sqrt(3)