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Popular >

simplify sqrt(264)

Solution

simplify

264

Solution

266

+1

Decimal Notation

16.24807 \dots

Solution steps

264

Prime factorization of

264 : 2^{3} \cdot 3 \cdot 11

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

Apply exponent rule:

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

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

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

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

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

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 \cdot 11

Multiply the numbers:

2 \cdot 3 \cdot 11 = 66

= 266

Popular Examples

simplify-9sqrt(15)+10sqrt(15)simplify

- 915 + 1015

factor 2x^2+10x-12 factor

2 x^{2} + 10 x - 12

4 - x = 5 - 2 x

5 x - 7 = 13

simplify 39/52*13/51 simplify

\frac{39}{52} \cdot \frac{13}{51}

Frequently Asked Questions (FAQ)

What is sqrt(264) ?
The solution to sqrt(264) is 2sqrt(66)