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Popular >

simplify sqrt(x)*sqrt(1+1/x)

Solution

simplify

x \cdot 1 + \frac{1}{x}

Solution

x + 1

Solution steps

x 1 + \frac{1}{x}

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x \frac{1}{x} + 1 = x (\frac{1}{x} + 1)

= x (\frac{1}{x} + 1)

Simplify

x (1 + \frac{1}{x}) : x + 1

= x + 1

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Frequently Asked Questions (FAQ)

What is sqrt(x)*sqrt(1+1/x) ?
The solution to sqrt(x)*sqrt(1+1/x) is sqrt(x+1)