Răspuns :
√8=2√2
√18=3√2
√32=4√2
1/√2+2/2√2+3/3√2+4/4√2=
rationalizam si obtinem:
√2/2+2√2/4+3√2/6+4√2/8
aducem la acelasi numitor, acesta fiind 24:
12√2+12√2+12√2+12√2/24=
48√2/24=
2√2
√18=3√2
√32=4√2
1/√2+2/2√2+3/3√2+4/4√2=
rationalizam si obtinem:
√2/2+2√2/4+3√2/6+4√2/8
aducem la acelasi numitor, acesta fiind 24:
12√2+12√2+12√2+12√2/24=
48√2/24=
2√2