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10. Find the triplicate ratio of the following: The ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be proportion. The concept of ratio and proportion is majorly based on ratios and fractions. (iii)$\sqrt{15}:\sqrt{18}$ (iv) ${}^{3}{{\sqrt{\left( ab \right)}}^{2}}:{}^{3}\sqrt{\left( {{a}^{2}}b \right)}$
10. Find the triplicate ratio of the following: The ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be proportion. The concept of ratio and proportion is majorly based on ratios and fractions. (iii)$\sqrt{15}:\sqrt{18}$ (iv) ${}^{3}{{\sqrt{\left( ab \right)}}^{2}}:{}^{3}\sqrt{\left( {{a}^{2}}b \right)}$
Class 10 | Frank | ICSE | Maths | Ratio and Proportion
10. Find the triplicate ratio of the following: The ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers says a and b is given by a:b or a/b. When two or more such ratios are equal, they are said to be proportion. The concept of ratio and proportion is majorly based on ratios and fractions. (iii)$\sqrt{15}:\sqrt{18}$ (iv) ${}^{3}{{\sqrt{\left( ab \right)}}^{2}}:{}^{3}\sqrt{\left( {{a}^{2}}b \right)}$

Given, $\sqrt{15}:\sqrt{18}$

$={{\left( \sqrt{15} \right)}^{3}}:{{\left(
\sqrt{18} \right)}^{3}}$

$=15\sqrt{5}:18\times
3\sqrt{2}$

$=5\sqrt{15}:18\sqrt{2}$

Therefore, triplicate ratio is $5\sqrt{15}:18\sqrt{2}$

(iv) 

Solution:-

Given, ${}^{3}\sqrt{{{\left( ab \right)}^{2}}}:{}^{3}\sqrt{\left(
{{a}^{2}}b \right)}$

By simplification we get,

$={{\left( {}^{3}{{\sqrt{\left( ab \right)}}^{2}} \right)}^{3}}:{{\left(
{}^{3}\sqrt{\left( {{a}^{2}}b \right)} \right)}^{3}}$

$=a{{b}^{2}}:{{a}^{2}}b$

$=b:a$

Therefore, triplicate ratio is $b:a$

i

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