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Popular >

simplify sqrt(432)

Solution

simplify

432

Solution

123

+1

Solution steps

432

Prime factorization of

432 : 2^{4} \cdot 3^{3}

= 2^{4} \cdot 3^{3}

Apply exponent rule:

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

2^{4} \cdot 3^{3} = 2^{4} \cdot 3^{2} \cdot 3

= 2^{4} \cdot 3^{2} \cdot 3

2^{4} \cdot 3^{2} \cdot 3 = 2^{4} 3^{2} 3

= 2^{4} 3^{2} 3

2^{4} = 4

= 4 3^{2} 3

Apply radical rule:

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

3^{2} = 3

= 4 \cdot 33

Multiply the numbers:

4 \cdot 3 = 12

= 123

Popular Examples

9 + \frac{x}{3} = 13

9 x^{2} - 42 x + 52 = 0

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\frac{a ^{2} b ^{- 7} c ^{4}}{a ^{5} b ^{3} c ^{- 2}}

x^{2} + 6^{2} = 1 1^{2}

simplify (-3x^4y^2)^2 simplify

(- 3 x^{4} y^{2})^{2}

Frequently Asked Questions (FAQ)

What is sqrt(432) ?
The solution to sqrt(432) is 12sqrt(3)