Question

(radical5 - radical3)^2 (totul la puterea a 2 a)

(r5-r3)^2

a) 2 ; b) 8-r15 ; c) 8-r30 ; d) 8-r60.

Answer 1

(√5-√3)^2
=√5^2-2*√5*√3-(√3)^2=
=5-2√15+3=
=8-2√15=
=8-√60
Formula de calcul prescurtat: (a-b)^2=a^2-2ab+b^2

Answer 2

$( \sqrt{5} - \sqrt{3} )^{2} = (\sqrt{5})^{2} -2 \cdot \sqrt{5} \cdot \sqrt{3} + (\sqrt{3})^{2} = 5 - 2 \cdot \sqrt{15} + 3 = \boxed{ 8- \sqrt{60}}$