Question

Efectuati:
a) √12(√108-2√48)-√18(√288-√72)
b) √18(3√50+√162)-√12(√432-√192)

Answer 1

√12=2√3
√108=6√3
2√48=4·2√3=8√3
√18=3√2
√288=12√2
√72=6√2
=2√3(6√3-8√3)-3√2(12√2-6√2)=
=2√3·2√3-3√2·6√2=4·3-18·2=12-36=-24
b)
√18=3√2
3√50=15√2
√162=9√2
√12=2√3
√432=12√3
√192=8√3
=3√2(15√2+9√2)-2√3(12√3-8√3)=
=3√2·24√2-2√3·4√3=72·2-8·3=144-24=120