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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

simplify 8sqrt(2)^2 simplify

8 2^{2}

factor 2n^2-7n+3 factor

2 n^{2} - 7 n + 3

simplify 1/6*1/6 simplify

\frac{1}{6} \cdot \frac{1}{6}

factor x^2-1/2 x+1/16 factor

x^{2} - \frac{1}{2} x + \frac{1}{16}

- 2 y = 6

Frequently Asked Questions (FAQ)

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