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Addition

3×1/5 + 3× 5 ...

Question

$(3 \times \frac{1}{5}) + (3 \times 5)$ = __________

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Solution

We know that, multiplying two numbers separately by 3 and then adding is same as multiplying the sum of two numbers by 3.

i.e., If $x$ and $y$ are any two numbers, then $3 x + 3 y = 3 (x + y)$

So, $(3 \times \frac{1}{5}) + (3 \times 5)$
$= 3 \times (\frac{1}{5} + 5)$
$= 3 \times \frac{26}{5}$

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(iii) $\frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} - \frac{3}{\sqrt{5} + \sqrt{2}}$

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\frac{x}{3} = 7 - \frac{y}{5}

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