Question

simplify 5 root 2 + 2 root 8 minus 3 root 32 + 4 root 128​

Answer 1

I think this is the answrr

Answer 2

The simplified form of given expression is $29\sqrt{2}$.

Step-by-step explanation:

The given expression is

$5\sqrt{2}+2\sqrt{8}-3\sqrt{32}+4\sqrt{128}$

We need to find the simplified form of the given expression.

$5\sqrt{2}+2\sqrt{4\times 2}-3\sqrt{16\times 2}+4\sqrt{64\times 2}$

$5\sqrt{2}+2\sqrt{2^2\times 2}-3\sqrt{4^2\times 2}+4\sqrt{8^2\times 2}$

$5\sqrt{2}+2(2\sqrt{2})-3(4\sqrt{2})+4(8\sqrt{2})$

After multiplication we get

$5\sqrt{2}+4\sqrt{2}-12\sqrt{2}+32\sqrt{2}$

After addition we get

$29\sqrt{2}$

Therefore, the simplified form of given expression is $29\sqrt{2}$.

#Learn more

If root 2 =1.414,then find the value of 3root 32-2root 50+4 root 128-20 root 18.

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