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Popular >

simplify 5sqrt(8)

Solution

simplify

58

Solution

102

+1

Decimal Notation

14.14213 \dots

Solution steps

58

Prime factorization of

8 : 2^{3}

= 5 2^{3}

Apply exponent rule:

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

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

= 5 2^{2} \cdot 2

Apply radical rule:

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

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

= 5 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 22

Multiply the numbers:

5 \cdot 2 = 10

= 102

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Frequently Asked Questions (FAQ)

What is 5sqrt(8) ?
The solution to 5sqrt(8) is 10sqrt(2)