Operación de expresiones algebraicas en el Examen de Ingreso a Secundaria 2021.
①5√8-2√32 √50
=5*3√2-2*4√2 5√2
=√2(15-8 5)
=12√2
②√6-√3/2-√2/3
=√6-√6/2-√6/3
=√6/6
③(√45 √27)-(√4/3 √125)
=(3√5 3√3)- (2√3/3 5√5)
=-2√5 7√5/3
④(√4a-√50b)-2(√b/2 √ 9a)
=(2√a-5√2b)-2(√2b/2 3√a)
=-4√a-6√2b
⑤√4x*(√3x/2-√x/6)
=2√x(√6x/2-√6x/6)
=2√ x*(√6x/3)
=2/3*|x|*√6
⑥(x√y-y√x)÷√xy
=x√y÷√xy-y√x÷√xy
=√x-√y
⑦(3√7 2√3)(2√3-3 √7)
=(2√3)^2-(3√7)^2
=12-63
=-51
⑧(√32-3√3)(4√2 √27)
=(4√2-3√3)(4√2 3√3)
=(4√2)^2-(3√3)^2
=32-27
=5
⑨(3√6 -√4)?
=(3√6)^2-2*3√6*√4 (√4)^2
=54-12√6 4
=58-12√6
⑩(1 √2-√3)(1-√2 √3)
=[1 (√2- √3)][1-(√2-√3)]
=1-(√2-√3)^2
=1-(2 3 2√6 )
=-4-2√6
(1)5√12×√18
=5*2√3*3√2
=30√6;
(2)-6√45×(-4√48)
=6*3√5*4*4√3
=288√15;
(3)√(12a)×√(3a) /4
=√(36a^2)/4
=6a/4
=3a/2.