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Solve the question pls​

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Solution :

For solving these KIND of QUESTIONS,you need to BREAK them in their SIMPLE Form

We have :

\longmapsto \sf \: 5 \sqrt{8} + 2 \sqrt{32} - 2 \sqrt{2}

We can write :

\star \sf \: \sqrt{8} \: as \: \sqrt{2 \times 2 \times 2} = 2 \sqrt{2}

\star \sf \: \sqrt{32} \: as \: \sqrt{2 \times 2 \times 2 \times 2 \times 2} = 4\sqrt{2}

Let's put the value :

\longmapsto \sf \: 5(2 \sqrt{2} ) + 2(4 \sqrt{2} ) - 2 \sqrt{2}

\longmapsto \sf \: 10\sqrt{2} + 8 \sqrt{2} - 2 \sqrt{2}

Here,√2 is common. Let's TAKE it out

\longmapsto \sf \: 10 + 8 - 2 \sqrt{2}

Now,Solve the left numbers.

\longmapsto \sf \: 18 - 2 \sqrt{2}

\longmapsto \large \boxed{ \purple{ \sf \: 16 \sqrt{2} }}

Hence,Required value is 16√2



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