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Real Numbers — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsReal Numbers2 Marks
Question
There are some real numbers written on a card sheet. Use these numbers and construct two examples each of addition, subtraction, multiplication and division. Solve these examples.

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Answer

i. $\quad 9 \sqrt{2}+(-3 \sqrt{2})=9 \sqrt{2}-3 \sqrt{2}=6 \sqrt{2}$
ii. $12-2 \sqrt{5}=2(6-\sqrt{5})$
iii. $2 \sqrt{5} \times 3 \sqrt{11}=6 \sqrt{55}$
iv. $\frac{2 \sqrt{5}}{9 \sqrt{2}}=\frac{2 \sqrt{5}}{9 \sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}=\frac{2 \sqrt{10}}{9 \times 2}=\frac{\sqrt{10}}{9}$

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