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Popular >

simplify 5sqrt(32)

Solution

simplify

532

Solution

202

+1

Decimal Notation

28.28427 \dots

Solution steps

532

Prime factorization of

32 : 2^{5}

= 5 2^{5}

Apply exponent rule:

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

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

= 5 2^{4} \cdot 2

Apply radical rule:

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

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

= 5 2^{4} 2

2^{4} = 4

= 5 \cdot 42

Multiply the numbers:

5 \cdot 4 = 20

= 202

Popular Examples

factor 1+10x+25x^2 factor

1 + 10 x + 25 x^{2}

factor 25n^4-16n^2 factor

25 n^{4} - 16 n^{2}

simplify \sqrt[3]{(27a^3)/(125b^6)}simplify

x^{2} = - 49

2 x^{2} - 8 x = 0

Frequently Asked Questions (FAQ)

What is 5sqrt(32) ?
The solution to 5sqrt(32) is 20sqrt(2)