Simplify
sqrt12 + sqrt18 - sqrt27 + sqrt 50
thnx a lot any help is greatly appriceted....
these are grade 11 radical expressions
and the answer for this is : -
-sqrt3 + 8sqrt2
Notice 12=4*3
and 18=9*2
and 27=9*3
and finally 50=25*2
I assume that helps.
thnx but how to simplyfy more, i also got till here.
Ok, I will start you.
sqrt (50)=sqrt (25*2)=sqrt(25)*sqrt(2)
= 5 sqrt2
To simplify the given expression, we can follow these steps:
Step 1: Simplify the square roots individually.
- Square root of 12 can be simplified as the square root of 4 times the square root of 3, which gives 2√3.
- Square root of 18 can be simplified as the square root of 9 times the square root of 2, which gives 3√2.
- Square root of 27 can be simplified as the square root of 9 times the square root of 3, which gives 3√3.
- Square root of 50 can be simplified as the square root of 25 times the square root of 2, which gives 5√2.
Step 2: Combine the simplified square roots.
2√3 + 3√2 - 3√3 + 5√2
Step 3: Combine like terms by adding the coefficients of similar square roots.
(2√3 - 3√3) + (3√2 + 5√2)
-√3 + 8√2
So, the simplified expression is -√3 + 8√2.