simplify 1√3−2 1 √ 3 − 2 - 1√3+2

Question 1 Report

simplify $\frac{1}{\sqrt 3 - 2}$ - $\frac{1}{\sqrt 3 + 2}$

3

\frac{2}{3}

7

-4

Answer Details

$\frac{1}{\sqrt 3 - 2}$ - $\frac{1}{\sqrt 3 + 2}$
L.C.M = (3- 2) (3 + 2)
∴ $\frac{1}{\sqrt{3 - 2}}$ - $\frac{1}{\sqrt{3 - 2}}$ = $\frac{\sqrt{3 + 2} - \sqrt{3 - 2}}{\sqrt{3 - 2} + \sqrt{3 - 2}}$

$\frac{\sqrt 3 + 2 - \sqrt 3 + 2}{3 - 2 \sqrt 3 + 2 \sqrt 3 - 4}$ = $\frac{4}{3 - 2}$
= $\frac{4}{- 1}$
= -4

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

Read lesson note on Surds (radicals) (WAEC)

Positive And Negative Integers, Rational Numbers

Surds (radicals)

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