What is sqrt((1+3/5)/2) ?

The solution to sqrt((1+3/5)/2) is 2/(sqrt(5))

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simplify sqrt((1+3/5)/2)

simplify

\frac{1 + \frac{3}{5}}{2}

\frac{2}{5}

Decimal Notation

0.89442 \dots

Solution steps

\frac{1 + \frac{3}{5}}{2}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{1 + \frac{3}{5}}{2}

1 + \frac{3}{5} = \frac{2 2}{5}

= \frac{\frac{2 2}{5}}{2}

Apply the fraction rule:

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

= \frac{2 2}{5 2}

Cancel the common factor:

2

= \frac{2}{5}

\frac{x ^{2} - 4 x - 5}{( x - 1 ) ^{2} - 4 ( x - 1 )}

\frac{1}{1 - sin ( θ )} + \frac{1}{1 + sin ( θ )}

\frac{2}{3} \div \frac{2}{3}

2 (3 + 4 y + 5)

1.5 \times 1.5