What is (sqrt(160))/(sqrt(5)) ?

The solution to (sqrt(160))/(sqrt(5)) is 4sqrt(2)

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simplify (sqrt(160))/(sqrt(5))

simplify

\frac{160}{5}

42

Decimal Notation

5.65685 \dots

Solution steps

\frac{160}{5}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{160}{5} = \frac{160}{5}

= \frac{160}{5}

Divide the numbers:

\frac{160}{5} = 32

= 32

Prime factorization of

32 : 2^{5}

= 2^{5}

Apply exponent rule:

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

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

= 2^{4} \cdot 2

Apply radical rule:

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

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

= 2^{4} 2

2^{4} = 4

= 42

\frac{9 x ^{3}}{x ^{4} + 4 x ^{3}}

3 x + 24 y

9^{2} + 4^{2}

5 \frac{2}{3} \cdot \frac{1}{5}

∣ e \cdot f ∣^{2}

What is (sqrt(160))/(sqrt(5)) ?
The solution to (sqrt(160))/(sqrt(5)) is 4sqrt(2)