What is sqrt(x)\times sqrt(x^2+1) ?

The solution to sqrt(x)\times sqrt(x^2+1) is sqrt(x(x^2+1))

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simplify sqrt(x)\times sqrt(x^2+1)

simplify

x \cdot x^{2} + 1

x (x^{2} + 1)

Solution steps

x x^{2} + 1

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x x^{2} + 1 = x (x^{2} + 1)

= x (x^{2} + 1)

e^{3} \times e^{3}

5 + 22 5 - 22

e^{- a ∣ x ∣}

\frac{e ^{5 x}}{e ^{3 x}}

What is sqrt(x)\times sqrt(x^2+1) ?
The solution to sqrt(x)\times sqrt(x^2+1) is sqrt(x(x^2+1))