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Popular >

simplify 2*sqrt(8)

Solution

simplify

2 \cdot 8

Solution

42

+1

Decimal Notation

5.65685 \dots

Solution steps

28

Prime factorization of

8 : 2^{3}

= 2 2^{3}

Apply exponent rule:

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

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

= 2 2^{2} \cdot 2

Apply radical rule:

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

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

= 2 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 22

Multiply the numbers:

2 \cdot 2 = 4

= 42

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Frequently Asked Questions (FAQ)

What is 2*sqrt(8) ?
The solution to 2*sqrt(8) is 4sqrt(2)