What is (400)/(4sqrt(5)) ?

The solution to (400)/(4sqrt(5)) is 20sqrt(5)

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simplify (400)/(4sqrt(5))

simplify

\frac{400}{4 5}

205

Decimal Notation

44.72135 \dots

Solution steps

\frac{400}{4 5}

Factor the number:

400 = 4 \cdot 100

= \frac{4 \cdot 100}{4 5}

Cancel the common factor:

4

= \frac{100}{5}

Factor the number:

100 = 5 \cdot 20

= \frac{5 \cdot 20}{5}

Apply radical rule:

a = a a

5 = 55

= \frac{5 5 \cdot 20}{5}

Cancel the common factor:

5

= 5 \cdot 20

= 205

\frac{3}{2} \times 2

lo g_{16} (\frac{1}{16})

\frac{3}{2} - 9

\frac{3}{5} - \frac{1}{1}

\frac{100}{24}