Question

nao sei fazer essa conta alguém min ajude √32-2√12-√75+3√72

Answer 1

primeiro fatoramos os radicandos:
32:2=16
16:2=8
8:2=4
4:2=2
2:2=1

12:2=6
6:2=3
3:3=1

75:3=25
25:5=5
$32 = {2}^{5} \\ 12 = {2}^{2} \times 3 \\ 75 = 3 \times {5}^{2} \\ 72 = {2}^{3} \times {3}^{2} . \\ \sqrt{ {2}^{5} } - 2 \sqrt{ {2}^{2} \times 3} - \sqrt{3 \times {5}^{2} } + 3 \sqrt{ {2}^{3} \times {3}^{2} } = 4 \sqrt{2} - 4 \sqrt{3} - 5 \sqrt{3} + 18 \sqrt{2} = 22 \sqrt{2} - 9 \sqrt{3}$

5:5=1

72:2=36
36:2=18
18:2=9
9:3=3
3:3=1

Answer 2

   √32-2√12-√75+3√72
=√4²x2-2√2²x3-√5²x3+3√6²x2
=4√2-2x2√3-5√3+3x6√2
=4√2-4√3-5√3+18√2
=4√2+18√2-4√3-5√3
=(4+18)√2-(4+5)√3
=22√2 -9√3