What is sqrt((a+b)/(a-b))sqrt(a^2-b^2) ?

The solution to sqrt((a+b)/(a-b))sqrt(a^2-b^2) is a+b

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simplify sqrt((a+b)/(a-b))sqrt(a^2-b^2)

simplify

\frac{a + b}{a - b} a^{2} - b^{2}

a + b

Solution steps

\frac{a + b}{a - b} a^{2} - b^{2}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

\frac{a + b}{a - b} a^{2} - b^{2} = \frac{a + b}{a - b} (a^{2} - b^{2})

= \frac{a + b}{a - b} (a^{2} - b^{2})

Simplify

\frac{a + b}{a - b} (a^{2} - b^{2}) : (a + b)^{2}

= (a + b)^{2}

Apply radical rule:

assuming

a \geq 0

= a + b

e^{5 t} \cdot e^{5}

1 - sin (x) 1 + sin (x)

(w - y) (w - y)

5.67 \cdot 1 0^{- 8} \cdot 577 8^{4}

6.64 \cdot 1 0^{- 4}

What is sqrt((a+b)/(a-b))sqrt(a^2-b^2) ?
The solution to sqrt((a+b)/(a-b))sqrt(a^2-b^2) is a+b