What is (sqrt(480))/(sqrt(5)) ?

The solution to (sqrt(480))/(sqrt(5)) is 4sqrt(6)

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simplify (sqrt(480))/(sqrt(5))

simplify

\frac{480}{5}

46

Decimal Notation

9.79795 \dots

Solution steps

\frac{480}{5}

Apply radical rule:

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

\frac{480}{5} = \frac{480}{5}

= \frac{480}{5}

Divide the numbers:

\frac{480}{5} = 96

= 96

Prime factorization of

96 : 2^{5} \cdot 3

= 2^{5} \cdot 3

Apply exponent rule:

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

2^{5} \cdot 3 = 2^{4} \cdot 2 \cdot 3

= 2^{4} \cdot 2 \cdot 3

Apply radical rule:

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

2^{4} \cdot 2 \cdot 3 = 2^{4} 2 \cdot 3

= 2^{4} 2 \cdot 3

2^{4} = 4

= 4 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 46

25 x^{2} + 20 x + 3

9^{2} + b^{2} = 4 1^{2}

2 lo g_{3} (\frac{1}{52})

- \frac{\frac{5}{9}}{( - \frac{11}{6} )}

- 3 x = 21

What is (sqrt(480))/(sqrt(5)) ?
The solution to (sqrt(480))/(sqrt(5)) is 4sqrt(6)