The correct option is A 189 #8730;143 = #8730;3 #160; #215; #8730;49 = #8730;3 #160; #215; 7 #8730;243 = #8730;3 #160; ...

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Finding Square Root through Prime Factorisation

Determinea ...

Question

Determine
(a) $\sqrt{147} \times \sqrt{243}$

189

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209

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197

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138

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Solution

The correct option is A $189$
$\sqrt 143 = \sqrt 3 \times \sqrt 49 = \sqrt 3 \times 7$
$\sqrt 243 = \sqrt 3 \times \sqrt 81 = \sqrt 3 \times 9$
$\sqrt 143 \times \sqrt 243 = 3 \times 9 \times 7 = 189$

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Reciprocal of $\sqrt[5]{12 \frac{209}{243}}$ is

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243

3

a = {log}_{63} 147

b = {log}_{189} 1029

2 (\frac{1 - a b}{a - b})

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