Rationalize 2√3+3√23√2−2√3

Question 1 Report

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

5 - 2

\sqrt{6}

5 + 2

\sqrt{6}

\sqrt{6}

Answer Details

$\frac{2 \sqrt{3} + 3 \sqrt{2}}{3 \sqrt{2} - 2 \sqrt{3}}$
= $\frac{2 \sqrt{3} + 3 \sqrt{2}}{3 \sqrt{2} - 2 \sqrt{3}}$ x $\frac{3 \sqrt{2} + 2 \sqrt{3}}{3 \sqrt{2} - 2 \sqrt{3}}$
$\frac{4 (3) + 9 (2) + 2 (6) \sqrt{6}}{9 (2) - 4 (3)}$
$\frac{12 + 18 + 12 \sqrt{6}}{1 ‘ 8 - 12}$
= $\frac{30 + 12 \sqrt{6}}{6}$
= 5 + 2 $\sqrt{6}$

Read lesson note on Positive And Negative Integers, Rational Numbers (WAEC)

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Positive And Negative Integers, Rational Numbers

Surds (radicals)

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