Question
To rationalize the denominator of the expression $\frac{\sqrt{2}}{1-\sqrt{3}},$ multiply both the numerator and the denominator by which of the following? (a) $\sqrt{3}$ (b) $\sqrt{2}$ (c) $1+\sqrt{3}$ (d) $1-\sqrt{3}$
Step 1
We want to rationalize the denominator, which means we want to eliminate the square root from the denominator. Show more…
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Multiple Choice To rationalize the denominator of the expression $\frac{\sqrt{2}}{1-\sqrt{3}},$ multiply both the numerator and the denominator by which of the following? (a) $\sqrt{3}$ (b) $\sqrt{2}$ (c) $1+\sqrt{3}$ (d) $1-\sqrt{3}$
Review
$n$th Roots; Rational Exponents
Rationalize the denominator. (a) $\frac{1}{\sqrt[5]{2^{3}}}$ (b) $\frac{2}{\sqrt[4]{3}}$ (c) $\frac{3}{\sqrt[4]{2^{3}}}$
Prerequisites
Rational Exponents and Radicals
Rationalize the denominator of each expression. Write your answer in simplest form. a. $\frac{\sqrt{3}+\sqrt{5}}{\sqrt{2}}$ b. $\frac{2 \sqrt{3}-3 \sqrt{2}}{\sqrt{2}}$ c. $\frac{4 \sqrt{3}+3 \sqrt{2}}{2 \sqrt{3}}$ d. $\frac{3 \sqrt{5}-\sqrt{2}}{2 \sqrt{2}}$
Assessing Atheletic Performance
Radical Expressions: Rationalizing Denominators
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