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Popular >

simplify 10sqrt(20)

Solution

simplify

1020

Solution

205

+1

Decimal Notation

44.72135 \dots

Solution steps

1020

Prime factorization of

20 : 2^{2} \cdot 5

= 10 2^{2} \cdot 5

Apply radical rule:

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

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

= 10 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= 10 \cdot 25

Multiply the numbers:

10 \cdot 2 = 20

= 205

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Frequently Asked Questions (FAQ)

What is 10sqrt(20) ?
The solution to 10sqrt(20) is 20sqrt(5)