Question

Simplify square root of five times the quantity eight plus three square root of six

Answer 1

∴ The answer is 15.6854

Explanation:

Square root of five;

`√(5)`

`2.2360`

Add eight plus three;

`8+3=11`

And square root of six;

`√(6)`

`2.4494`

Now all three values;

`2.2360` ,
`11` and
`2.4494` which is;

`15.6854`

∴ The answer is 15.6854

Answer 2

8√5+3√30

Explanation:

Given the equation below;

√5 × 8+3√6.

This equation can also be rewritten as √5 (8+3√6).

To simplify the surd function above, we will have to open up the bracket to have;

√5 (8+3√6 )

= 8√5+3√30

Since √30 can not be expressed as a product of a root of a perfect number and a prime number, then we will have to leave it that way.

Therefore the simplified form of the given expression is 8√5+3√30

This two values cannot be added further because the values in the square root sign are not the same.