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Popular >

simplify 2sqrt(40)

Solution

simplify

240

Solution

410

+1

Decimal Notation

12.64911 \dots

Solution steps

240

Prime factorization of

40 : 2^{3} \cdot 5

= 2 2^{3} \cdot 5

Apply exponent rule:

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

2^{3} \cdot 5 = 2^{2} \cdot 2 \cdot 5

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

Apply radical rule:

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

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

= 2 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 2 \cdot 210

Multiply the numbers:

2 \cdot 2 = 4

= 410

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Frequently Asked Questions (FAQ)

What is 2sqrt(40) ?
The solution to 2sqrt(40) is 4sqrt(10)