Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.

Solution:

Given, square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.

The expression can be written as √5(8 + 3√6)

Now by distributive property,

x(y + z) = x.y + x.z

So, √5(8 + 3√6) = √5(8) + 3√30

Therefore, √5(8 + 3√6) = 8√5 +3√30

Example:

Simplify square root of 3 open parentheses 9 plus 8 square root of 6 close parentheses.

Solution:

Given, square root of 3 open parentheses 9 plus 8 square root of 6 close parentheses.

The expression can be written as √3(9 + 8√6)

Now by distributive property,

x(y + z) = x.y + x.z

So, √3(9 + 8√6) = √3(9) + 8√18

Therefore, √3(9 + 8√6) = 9√3 + 8√18

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Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.

Summary:

The simplified form of square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses is 8√5 + 3√30.