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Popular >

simplify sqrt(160)

Solution

simplify

160

Solution

410

+1

Decimal Notation

12.64911 \dots

Solution steps

160

Prime factorization of

160 : 2^{5} \cdot 5

= 2^{5} \cdot 5

Apply exponent rule:

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

2^{5} \cdot 5 = 2^{4} \cdot 2 \cdot 5

= 2^{4} \cdot 2 \cdot 5

Apply radical rule:

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

2^{4} \cdot 2 \cdot 5 = 2^{4} 2 \cdot 5

= 2^{4} 2 \cdot 5

2^{4} = 4

= 4 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 410

Popular Examples

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24 \times 7

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- 1 \times 5

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- x^{2} - 6 x - 8

expand (3x+9)(x+1)expand

(3 x + 9) (x + 1)

simplify (x-1/x)^5 simplify

(x - \frac{1}{x})^{5}

Frequently Asked Questions (FAQ)

What is sqrt(160) ?
The solution to sqrt(160) is 4sqrt(10)