What is (sqrt(30)-sqrt(15))/(sqrt(5)) ?

The solution to (sqrt(30)-sqrt(15))/(sqrt(5)) is sqrt(6)-sqrt(3)

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simplify (sqrt(30)-sqrt(15))/(sqrt(5))

simplify

\frac{30 - 15}{5}

6 - 3

Decimal Notation

0.71743 \dots

Solution steps

\frac{30 - 15}{5}

Multiply by the conjugate

\frac{5}{5}

= \frac{( 30 - 15 ) 5}{5 5}

(30 - 15) 5 = 56 - 53

55 = 5

= \frac{5 6 - 5 3}{5}

Factor out common term

5

= \frac{5 ( 6 - 3 )}{5}

Divide the numbers:

\frac{5}{5} = 1

= 6 - 3

(x + 2)^{2} - (x - 2)^{2}

\frac{( 2 v ^{4} ) ^{3}}{- 6 v ^{- 2}}

(4 x^{3} + 5 y)^{2}

(x + y - 2)^{2}

12 \frac{1}{4}

What is (sqrt(30)-sqrt(15))/(sqrt(5)) ?
The solution to (sqrt(30)-sqrt(15))/(sqrt(5)) is sqrt(6)-sqrt(3)