What is (15)/(sqrt(20)) ?

The solution to (15)/(sqrt(20)) is (3sqrt(5))/2

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simplify (15)/(sqrt(20))

simplify

\frac{15}{20}

\frac{3 5}{2}

Decimal Notation

3.35410 \dots

Solution steps

\frac{15}{20}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3}{20}

Factor

20 : 5 \cdot 2

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

Apply radical rule:

a = a a

5 = 55

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

Cancel the common factor:

5

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

= \frac{3 5}{2}

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