Question

Answer 1

a. \(\dfrac{1}{3}\sqrt{a^2}=\dfrac{1}{3}.\left|a\right|=-\dfrac{a}{3}\)

b. \(\sqrt{\left(x-2\right)^2}=\left|x-2\right|=2-x\)

c. \(\sqrt{9a}-\sqrt{16a}+\sqrt{49a}=3\sqrt{a}-4\sqrt{a}+7\sqrt{a}=6\sqrt{a}\)

d. \(\sqrt{16b}+2\sqrt{40b}-3\sqrt{90b}=4\sqrt{b}+4\sqrt{10b}-9\sqrt{10b}=\left(4-5\sqrt{10}\right).\sqrt{b}\)

e. \(4\sqrt{a^2}-7\sqrt{a^2}+25\sqrt{a^2}=4\left|a\right|-7\left|a\right|+25\left|a\right|=22\left|a\right|=22a\)