Rationalisation Calculator

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Example

Created on 2024-06-20Asked by Isabella Green (Solvelet student)

Rationalize the denominator of the expression:

\frac{5}{\sqrt{3}}.

Solution

To rationalize the denominator of the expression

\frac{5}{\sqrt{3}}

: 1. **Multiply the numerator and the denominator by

\sqrt{3}

:**

\frac{5}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{5\sqrt{3}}{3}.

Therefore, the rationalized form of the expression is

\frac{5\sqrt{3}}{3}

. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Layla Ramirez on Solvelet

1. Rationalize the denominator of the expression

\frac{1}{\sqrt{2} + 1}

.2. Simplify the expression

\frac{\sqrt{3} + 2}{\sqrt{3} - 2}

DefinitionThe elimination of radicals from the denominator of a fraction by multiplying both the numerator and denominator by a conjugate or appropriate radical,reduces the fraction to its closest size is called as rationalization. Eg:- For rationalize \(2^{11}, \\mbox \{ multiple by 2^ 22\} \Longrightarrow 2^{22}\)

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