Question

Combine the radicals 4V7 +3V28​

Answer 1

Explanation:

`4√(7)+3√(28)=4√(7)+3√(2*2*7)\\\\\\ =4√(7)+3*2√(7)\\\\\\= 4√(7)+6√(7)\\\\\\=(4+6)√(7)\\\\\\ =10√(7)`

Answer 2

The answer is

`10 √(7)`

Explanation:

To solve the radicals make sure that they both have the same radical

That's

`4 √(7) + 3 √(28)`

Simplify 3√28 in order to combine the radicals

We have

`3 √(4 * 7) = 3 * √(4) * √(7)`

`= 3 * 2 * √(7)`

`= 6 √(7)`

So we now have

`4 √(7) + 6 √(7)`

Using the rules of surds

That's

`x √(a ) + y √(a) = (x + y) √(a)`

Simplify the expression

We have

`4 √(7) + 6 √(7 ) = (4 + 6) √(7)`

We have the final answer as

`10 √(7)`

Hope this helps you