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Popular >

simplify 10sqrt(8)

Solution

simplify

108

Solution

202

+1

Decimal Notation

28.28427 \dots

Solution steps

108

Prime factorization of

8 : 2^{3}

= 10 2^{3}

Apply exponent rule:

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

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

= 10 2^{2} \cdot 2

Apply radical rule:

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

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

= 10 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 10 \cdot 22

Multiply the numbers:

10 \cdot 2 = 20

= 202

Popular Examples

simplify (x^{-1})/(x^{-2)+y^{-6}}simplify

\frac{x ^{- 1}}{x ^{- 2} + y ^{- 6}}

5 x + 5 > 2 x + 2

simplify 9^{1/3}*81^{1/3}simplify

9^{\frac{1}{3}} \cdot 8 1^{\frac{1}{3}}

y + 5 > 9

sqrt(22^2-121)=11

2 2^{2} - 121 = 11

Frequently Asked Questions (FAQ)

What is 10sqrt(8) ?
The solution to 10sqrt(8) is 20sqrt(2)