Simplify without using tables 2√14×3√217√24×2√98

Assessment: JAMB UTME - Mathematics - 1987 Subject: General Mathematics

Question 1 Report

Simplify without using tables $\frac{2 \sqrt{14} \times 3 \sqrt{21}}{7 \sqrt{24} \times 2 \sqrt{98}}$

3√14

3√2

3√14

3√2

Answer Details

$\frac{2 \sqrt{14} \times 3 \sqrt{21}}{7 \sqrt{24} \times 2 \sqrt{98}}$ = $\frac{6 \sqrt{14} \times 3 \times \sqrt{7} \times \sqrt{3}}{7 \times 2 \sqrt{6} \times \sqrt{7} \times \sqrt{14}}$
= $\frac{3 \sqrt{3}}{14 \sqrt{6}}$
= $\frac{3 \sqrt{3}}{14 \sqrt{2} \times \sqrt{3}}$
= $\frac{\sqrt{3}}{\sqrt{2}}$ x $\frac{\sqrt{2}}{\sqrt{2}}$
= $\frac{3 \sqrt{2}}{28}$

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Simplify without using tables 2√14×3√217√24×2√98

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