What is sqrt(6-x)sqrt(1+1/(4(6-x))) ?

The solution to sqrt(6-x)sqrt(1+1/(4(6-x))) is (sqrt(-4x+25))/2

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simplify sqrt(6-x)sqrt(1+1/(4(6-x)))

simplify

6 - x 1 + \frac{1}{4 ( 6 - x )}

\frac{- 4 x + 25}{2}

Solution steps

6 - x 1 + \frac{1}{4 ( 6 - x )}

Simplify

1 + \frac{1}{4 ( 6 - x )} : \frac{- 4 x + 25}{2 6 - x}

= 6 - x \frac{- 4 x + 25}{2 6 - x}

Apply the fraction rule:

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

= \frac{6 - x - 4 x + 25}{2 6 - x}

Cancel the common factor:

6 - x

= \frac{- 4 x + 25}{2}

e^{- 3} (3 - 2)

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

761.8 \cdot 1 0^{- 8}

(16 m^{8} n^{20}) (4 m^{3} n^{4})

What is sqrt(6-x)sqrt(1+1/(4(6-x))) ?
The solution to sqrt(6-x)sqrt(1+1/(4(6-x))) is (sqrt(-4x+25))/2