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- Exercise 2.6 (Solutions)
- jugate is always a non-negative real number.\\ **Solution**\\ (i) False (ii) False (iii) True (iv) Tru... 9i)$ (iv) $2i^2+6i^3+3i^{16}-6i^{19}+4i^{25}$ **Solution**\\ (i) $$\begin{array}{cl} (2+3i)+(7-2i) &= ... }}-3i)^2$\\ (iv) $(2-3i){\overline{(3-2i)}}$\\ **Solution**\\ (i) $$\begin{array}{cl} (-7+3i)(-3+2i) &=... {1+i}/{1-i})^2$\\ (vi) $\frac{1}{(2+3i)(1-i)}$ **Solution**\\ (i) $$\begin{array}{cl} \frac{-2}{1+i}
- Exercise 2.5 (Solutions)
- (vi) $i^{27}$ **Solution**\\ (i) $$\begin{array}{cl} i^7 &= {i^6}\cdot i\... -3 + 4i$ (v) $-4 - i$ (vi) $i - 3$ **Solution**\\ (i) $$\begin{array}{cl} z = 2 + 3i\\ \bar{z}... (v) $-3i$ * (vi) $2 + 0i$ **Solution**\\ (i) $$\begin{array}{cl} z = 1 + i\\ Re(z) = ... value of x and y if $x + iy + 1 = 4 - 3i$ **Solution**\\ $$\begin{array}{cl} x + iy + 1 = 4 - 3i\\ \hb
- Exercise 2.2 (Solutions)
- a > b \Rightarrow ac > bc? (c >0)$ ... ... ... **Solution**\\ * (i) $a + b = b + a$ ... ...... ( Com... \ &= 3y ... ... ... (iv) \end{array} $$ **Solution**\\ * (i) Distributive property of multiplicat
- Exercise 2.3 (Solutions)
- * (iv) $y^\frac{-2}{3}$\\ **Solution**\\ * (i) $\sqrt[3]{-64} = -64^\frac{1}{3}$ (... * (iv) $\sqrt[3]{x}^{27} = x^3$\\ **Solution**\\ * (i) False * (ii) True * (iii) Fal
- Exercise 2.4 (Solutions)
- 43\right)}{\left(9^2n\right)\left(3^3\right)}$ **Solution**\\ (i) $$\begin{array}{cl} \begin{array}{cl} \... \times\left(\frac{x^c}{x^a}\right )^{c+a}= 1$$ **Solution**\\ $$\begin{array}{cl} \left(x^{a-b}\right)^{a+b
- Exercise 2.1 (Solutions)
- iv) $\frac{15}{2}$ (v) $7.25$ (vi)$\sqrt{29}$ **Solution**\\ * Rational: $\frac{1}{6}$, $\frac{15}{2}$,