Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

express in simplest form with a rational denominator.\\(\\frac{1}{\\sqr…

Question

express in simplest form with a rational denominator.\\(\frac{1}{\sqrt{3}}\\)

Explanation:

Step1: Rationalize the denominator by multiplying numerator and denominator by $\sqrt{3}$

$\frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

Step2: Multiply the numerators and denominators

$\frac{1 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} = \frac{\sqrt{3}}{3}$

Answer:

$\frac{\sqrt{3}}{3}$