Math, asked by AdityaAnandjha, 1 year ago

root 8 +4 root 32-6 root 2​

Answers

Answered by Caroline134
42

√8+4√32-6√2

2√2+4√ 16×2-6√2

2√2+4√4×4×2-6√2

2√2+16√2-6√2

2+16-6√2

18-6√2

12√2.....(final answer)

hope this helps!☺❤✌


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Answered by pinquancaro
16

The expression is \sqrt{8}+4\sqrt{32}-6\sqrt{2}=12\sqrt{2}.

Step-by-step explanation:

Given : Expression \sqrt{8}+4\sqrt{32}-6\sqrt{2}

To find : Simplify the expression ?

Solution :

Re-write the expression as,

\sqrt{8}+4\sqrt{32}-6\sqrt{2}=\sqrt{2\times 2\times 2}+4\sqrt{2\times 2\times 2\times 2\times 2}-6\sqrt{2}

\sqrt{8}+4\sqrt{32}-6\sqrt{2}=2\sqrt{2}+4\times 2\times 2\sqrt{2}-6\sqrt{2}

\sqrt{8}+4\sqrt{32}-6\sqrt{2}=2\sqrt{2}+16\sqrt{2}-6\sqrt{2}

\sqrt{8}+4\sqrt{32}-6\sqrt{2}=(2+16-6)\sqrt{2}

\sqrt{8}+4\sqrt{32}-6\sqrt{2}=12\sqrt{2}

Therefore, the expression is \sqrt{8}+4\sqrt{32}-6\sqrt{2}=12\sqrt{2}.

#Learn more

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