Question

Calculati:
a) 5√2/3√3 - √3/√2=
b) 3√5/2√3 + 4√3/√5=
c) 4√5/3√2 - √2/3√5=

Answer 1

a) $\dfrac{5\sqrt{2}}{3\sqrt{3}}$-$\dfrac{\sqrt{3}}{\sqrt{2}}$

$\dfrac{5\sqrt{6}}{9}$-$\dfrac{\sqrt{6}}{2}$=$\dfrac{5\sqrt{6}-9\sqrt{6}}{18}$=$\dfrac{-4\sqrt{6}}{18}$

=>$\dfrac{-2\sqrt{6}}{9}$

b) $\dfrac{3\sqrt{5}}{2\sqrt{3}}$+$\dfrac{4\sqrt{3}}{\sqrt{5}}$

$\dfrac{3\sqrt{15}}{6}$+$\dfrac{4\sqrt{15}}{5}$=$\dfrac{\sqrt{5}}{2}$+$\dfrac{4\sqrt{15}}{5}$

=$\dfrac{5\sqrt{15}+8\sqrt{15}}{10}$=$\dfrac{13\sqrt{15}}{10}$

c) $\dfrac{4\sqrt{5}}{3\sqrt{2}}$-$\dfrac{\sqrt{2}}{3\sqrt{5}}$

$\dfrac{4\cdot 5}{15}$-$\dfrac{\sqrt{10}}{15}$=$\dfrac{20- \sqrt{10}}{15}$