What is the simplified form of the following expression? 2 sqrt 18+3 sqrt 2 + sqrt 162

18√2

Step-by-step explanation:

2√18 + 3√2 + √162

= 2√(9 * 2) + 3√2 + √(81 * 2)

= (2 * 3)√2 + 3√2 + 9√2

= 6√2 + 3√2 + 9√2

= (6 + 3 + 9)√2

= 18√2

Simplified form is .

Step-by-step explanation:

Given :  2 Sqrt 18+3 Sqrt 2 + Sqrt 162.

To find : What is the simplified form.

Solution : We have given  .

We can write 18 as 9 *2 and 162 as 81 *2.

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By radical rule :

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Taking common from each term

.

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Therefore, Simplified form is .

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