What is (2sqrt(3a))/(10sqrt(a)) ?

The solution to (2sqrt(3a))/(10sqrt(a)) is (sqrt(3))/5

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simplify (2sqrt(3a))/(10sqrt(a))

simplify

\frac{2 3 a}{10 a}

\frac{3}{5}

Decimal Notation

0.34641 \dots

Solution steps

\frac{2 3 a}{10 a}

Factor the number:

10 = 2 \cdot 5

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

Cancel the common factor:

2

= \frac{3 a}{5 a}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

3 a = a 3

= \frac{a 3}{5 a}

Cancel the common factor:

a

= \frac{3}{5}

\frac{4}{7} - \frac{3}{5}

\frac{- 1 + 7}{2}

x^{- 2} y^{2}

5 a (- 3 a + 13)

\frac{5}{12} + \frac{1}{9}

What is (2sqrt(3a))/(10sqrt(a)) ?
The solution to (2sqrt(3a))/(10sqrt(a)) is (sqrt(3))/5