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Popular >

simplify sqrt(1080)

Solution

simplify

1080

Solution

630

+1

Decimal Notation

32.86335 \dots

Solution steps

1080

Prime factorization of

1080 : 2^{3} \cdot 3^{3} \cdot 5

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 = 6

= 6 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 \cdot 5 = 30

= 630

Popular Examples

-0.003k-0.03k-0.3k-666=0

- 0.003 k - 0.03 k - 0.3 k - 666 = 0

2a-17<-13\lor a-12>= 4

2 a - 17 < - 13 or a - 12 \geq 4

factor x^4+8x^2+7 factor

x^{4} + 8 x^{2} + 7

1 - \frac{4}{x ^{2}} < 0

0 = 192 - 16 t^{2}

Frequently Asked Questions (FAQ)

What is sqrt(1080) ?
The solution to sqrt(1080) is 6sqrt(30)