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Popular >

simplify sqrt(a/b)sqrt(b/a)

Solution

simplify

\frac{a}{b} \frac{b}{a}

Solution

1

Solution steps

\frac{a}{b} \frac{b}{a}

Apply radical rule:

a b = a \cdot b

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

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

\frac{a}{b} \cdot \frac{b}{a} = 1

= 1

Apply rule

1 = 1

= 1

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Frequently Asked Questions (FAQ)

What is sqrt(a/b)sqrt(b/a) ?
The solution to sqrt(a/b)sqrt(b/a) is 1