What is (4-sqrt(6))/(sqrt(2)) ?

The solution to (4-sqrt(6))/(sqrt(2)) is 2sqrt(2)-sqrt(3)

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simplify (4-sqrt(6))/(sqrt(2))

simplify

\frac{4 - 6}{2}

22 - 3

Decimal Notation

1.09637 \dots

Solution steps

\frac{4 - 6}{2}

Multiply by the conjugate

\frac{2}{2}

= \frac{( 4 - 6 ) 2}{2 2}

(4 - 6) 2 = 42 - 23

22 = 2

= \frac{4 2 - 2 3}{2}

Factor

42 - 23 : 2 (22 - 3)

= \frac{2 ( 2 2 - 3 )}{2}

Divide the numbers:

\frac{2}{2} = 1

= 22 - 3

16 \cdot 16

(9)^{- 2}

(- 2) (- 6)

\frac{- 21}{( - 7 )}

(- 2) (- 7)

What is (4-sqrt(6))/(sqrt(2)) ?
The solution to (4-sqrt(6))/(sqrt(2)) is 2sqrt(2)-sqrt(3)