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Popular >

simplify sqrt(x)sqrt(1+x^{-1)}

Solution

simplify

x 1 + x^{- 1}

Solution

x + 1

Solution steps

x 1 + x^{- 1}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x x^{- 1} + 1 = x (x^{- 1} + 1)

= x (x^{- 1} + 1)

Simplify

x (1 + x^{- 1}) : x + 1

= x + 1

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Frequently Asked Questions (FAQ)

What is sqrt(x)sqrt(1+x^{-1)} ?
The solution to sqrt(x)sqrt(1+x^{-1)} is sqrt(x+1)