How do you simplify #sqrt3 - sqrt27 + 5sqrt12 #?
Now that everything is in like terms of
- Simplify each surd to create a 'like' surd, when each number under the root sign is the same. This allows us to calculate the addition of the surds.
- We first simplify √27 to 9√3 = √27 and then simplify the number outside the root sign to = 3 (The square root) this gives us 3√3
- Then we simplify 5√12 to the √12 = 2√3 and then multiply this by 5 = 10√3
- Because each surd is now in the 'like' surd form we can carry out simple addition to complete the equation.
Simplify using perfect squares and the rule:
Some perfect squares are:
Since all terms are alike they can be added or subtracted: