What is (sqrt(2)+3)/(sqrt(2))+1/(sqrt(3)) ?

The solution to (sqrt(2)+3)/(sqrt(2))+1/(sqrt(3)) is (sqrt(6)+3sqrt(3)+sqrt(2))/(sqrt(6))

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simplify (sqrt(2)+3)/(sqrt(2))+1/(sqrt(3))

simplify

\frac{2 + 3}{2} + \frac{1}{3}

\frac{6 + 3 3 + 2}{6}

Decimal Notation

3.69867 \dots

Solution steps

\frac{2 + 3}{2} + \frac{1}{3}

Least Common Multiplier of

2, 3 : 6

Adjust Fractions based on the LCM

= \frac{( 2 + 3 ) 3}{6} + \frac{2}{6}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{( 2 + 3 ) 3 + 2}{6}

Simplify

(2 + 3) 3 + 2 : 6 + 33 + 2

= \frac{6 + 3 3 + 2}{6}

\frac{4}{3} - 2 (x - \frac{7}{2}) = 11 - x

y^{2} - 6 y + 9 = 0

k^{2} - 8 k = 0

18 x^{2} - 85 x + 18

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

What is (sqrt(2)+3)/(sqrt(2))+1/(sqrt(3)) ?
The solution to (sqrt(2)+3)/(sqrt(2))+1/(sqrt(3)) is (sqrt(6)+3sqrt(3)+sqrt(2))/(sqrt(6))