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10. Find the triplicate ratio of the following(i) 3:5(ii) 2\sqrt{5}:5\sqrt{2}
Class 10 | Frank | ICSE | Maths | Ratio and Proportion
10. Find the triplicate ratio of the following(i) 3:5(ii) 2\sqrt{5}:5\sqrt{2}

The ratio is used for comparing two quantities of the sane 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 in proportion.

The concept of ratio and proportion is majorly based on ratios and fractions.  

Solution:

Given, 3:5

={{3}^{3}}:{{5}^{3}}

=27:125

Therefore, triplicate ratio is 27:1255\sqrt{15}:18\sqrt{2}

Solution:

Given,

2\sqrt{5}:5\sqrt{2}

={{\left( 2\sqrt{5} \right)}^{3}}:{{\left( 5\sqrt{2} \right)}^{3}}

=\left( 8\times 5\sqrt{5} \right)\left( 125\times 2\sqrt{2} \right)

By simplification,

=4\sqrt{5}:25\sqrt{2}

Therefore, triplicate ratio = 4\sqrt{5}:25\sqrt{2}

i

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