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Popular >

simplify sqrt(1536)

Solution

simplify

1536

Solution

166

+1

Decimal Notation

39.19183 \dots

Solution steps

1536

Prime factorization of

1536 : 2^{9} \cdot 3

= 2^{9} \cdot 3

Apply exponent rule:

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

2^{9} \cdot 3 = 2^{8} \cdot 2 \cdot 3

= 2^{8} \cdot 2 \cdot 3

Apply radical rule:

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

2^{8} \cdot 2 \cdot 3 = 2^{8} 2 \cdot 3

= 2^{8} 2 \cdot 3

2^{8} = 16

= 16 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 166

Popular Examples

- 2 \frac{x + 1}{3} = 2 - x

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x^{\frac{5}{2}} - 16 x^{\frac{1}{2}}

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\frac{5}{2} - \frac{3}{4}

x^{2} + 18 x + 80 = 0

Frequently Asked Questions (FAQ)

What is sqrt(1536) ?
The solution to sqrt(1536) is 16sqrt(6)