Question

Please answer this question as soon as possible
5√8+2√32-2√2​

Answer 1

Answer:

Answer:

5\sqrt{8}+2\sqrt{32}-2\sqrt{2}=16\sqrt{2}5

8

+2

32

−2

2

=16

2

5\sqrt{8}+2\sqrt{32}-2\sqrt{2}5

8

+2

32

−2

2

\sqrt{8}

8

=\sqrt{2^2*2}=

2

2

∗2

=2\sqrt{2}=2

2

\sqrt{32}

32

=\sqrt{4^2*2}=

4

2

∗2

=4\sqrt{2}=4

2

Now,

5\sqrt{8}+2\sqrt{32}-2\sqrt{2}5

8

+2

32

−2

2

=5(2\sqrt{2})+2(4\sqrt{2})-2\sqrt{2}=5(2

2

)+2(4

2

)−2

2

=10\sqrt{2}+8\sqrt{2}-2\sqrt{2}=10

2

+8

2

−2

2

=18\sqrt{2}-2\sqrt{2}=18

2

−2

2

=16\sqrt{2}=16

2