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Exercise 2.1 (Solutions)
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====== ====Question 1==== Identify which of the following are rational and irrational numbers: (i) $\sqrt{... \pi$, $\sqrt{29}$ ====Question 2==== Convert the following fraction into decimal fraction. (i) $\frac{17}{2... tion. **False** ====Question 4==== Represent the following numbers on the number line. (i) $\frac{2}{3}$ (... epresents $\frac{2}{3}$ on the number line in the following figure. (ii) - To represent the rati
Exercise 2.2 (Solutions)
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=Question 1==== Identify the property used in the following, * (i) $a + b = b + a$ ... ..... * (ii) $(ab)... licative property) ====Question 2==== Fill in the following blanks by stating the properties of the real numb... n 3==== Give the name of the property used in the following, * (i) $\sqrt{24} + 0 = \sqrt{24}$ ... ... ...
Exercise 2.6 (Solutions)
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olutions)======== ====Question 1==== Identify the following statements as true or false. (i) $\sqrt{-3}\cdot\... verline{z}$ (d) $z\overline{z}$ , for each of the following. (i) $z = -i$\\ (ii) $z = 2 + i$\\ (iii) $\frac{1... } z). \end{array}$$ ====Question 7==== Solve the following equations for real x and y\\ * (i) $(2-3i)(x+yi
Exercise 2.3 (Solutions)
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dical form) ====Question 2==== Tell whether the following statements are true or false\\ * (i) $ 5^\frac{... * (iv) False ====Question 3==== Simplify the following radical expression * (i) $\sqrt[3]{-125}$ * (
Exercise 2.5 (Solutions)
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====Question 2==== * Write the conjugate of the following numbers (i) $2 + 3i$ (ii) $3 - 5i$ (ii... ==== * Write the real and imaginary part of the following numbers. * (i) $1 + i$