What is sqrt((a-b)\sqrt{(a+b)/(a-b))} ?

The solution to sqrt((a-b)\sqrt{(a+b)/(a-b))} is sqrt(\sqrt{(a+b)/(a-b))}sqrt(a-b)

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simplify sqrt((a-b)\sqrt{(a+b)/(a-b))}

simplify

(a - b) \frac{a + b}{a - b}

\frac{a + b}{a - b} a - b

Solution steps

(a - b) \frac{a + b}{a - b}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

(a - b) \frac{a + b}{a - b} = a - b \frac{a + b}{a - b}

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

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

x^{3} e^{- x}

[(3^{- 3})^{- 2}]^{- 2}

t \cdot e^{- t}

1.38 \cdot 1 0^{- 23}

1.8 \cdot 1 0^{- 3}

What is sqrt((a-b)\sqrt{(a+b)/(a-b))} ?
The solution to sqrt((a-b)\sqrt{(a+b)/(a-b))} is sqrt(\sqrt{(a+b)/(a-b))}sqrt(a-b)