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Popular >

simplify 3sqrt(32)

Solution

simplify

332

Solution

122

+1

Decimal Notation

16.97056 \dots

Solution steps

332

Prime factorization of

32 : 2^{5}

= 3 2^{5}

Apply exponent rule:

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

2^{5} = 2^{4} \cdot 2

= 3 2^{4} \cdot 2

Apply radical rule:

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

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

= 3 2^{4} 2

2^{4} = 4

= 3 \cdot 42

Multiply the numbers:

3 \cdot 4 = 12

= 122

Popular Examples

x^{2} = 3 x

r=sqrt((-7)^2+(-\sqrt{3))^2}

r = (- 7)^{2} + (- 3)^{2}

simplify-3/10 xy(60xy^6)simplify

- \frac{3}{10} x y (60 x y^{6})

- 3 < x < 1

\frac{x + 4}{x - 5} > 0

Frequently Asked Questions (FAQ)

What is 3sqrt(32) ?
The solution to 3sqrt(32) is 12sqrt(2)