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Find the dupl...

Question

Find the duplicate ratio of the following:

ii) $3 \sqrt{2 a} : 2 \sqrt{3 a}$

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Solution

Given: $3 \sqrt{2 a} : 2 \sqrt{3 a}$

$3 \sqrt{2 a} : 2 \sqrt{3 a} = \frac{3 \sqrt{2 a}}{2 \sqrt{3 a}}$

So, the duplicate ratio of $3 \sqrt{2 a} : 2 \sqrt{3 a}$ is,

${(\frac{3 \sqrt{2 a}}{2 \sqrt{3 a}})}^{2}$

$= \frac{9 \times 2 a}{4 \times 3 a}$

$= \frac{3}{2}$

Hence, the duplicate ratio of $3 \sqrt{2 a} : 2 \sqrt{3 a} is 3 : 2$ .

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Changing Scale (Including Flags)

Standard VII Mathematics

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