Solved: "Solve the equation 32x"

High School
Algebra
Pre-Algebra
Fractions

banganX

Answered question

2021-02-11

Solve the equation

$\frac{3}{\sqrt{2 x}}$

Answer & Explanation

Clelioo

Skilled2021-02-12Added 88 answers

To simplify a rational expression with a root in the denominator, we need to multiply the numerator and denominator by the root.
To simplify $\frac{3}{\sqrt{2 x}}$ , we then need to multiply the numerator and denominator by $\sqrt{2} x$ , which gives $\frac{\frac{(3 \times \sqrt{2} x)}{(\sqrt{2} x) (\sqrt{2} x)}}{}$ .
Using the property $\sqrt{x} \times \sqrt{x} = x$ where $x > 0$ to simplify the denominator then gives $\frac{3}{(\sqrt{2 x}) (\sqrt{2 x})} = \frac{3}{\sqrt{\frac{2 x}{2 x}}}$

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