Posted by Dorana on .
How do you solve 7√3 + √3? I really need help.

Math  Radicals 
Reiny,
7 apples + an apple = 8 apples
7x + x = 8x
7√3 + √3 = 8√3 
Math  Radicals 
Steve,
imagine there's a "1" in front of √3, making it 1√3
so,just as 7x + 1x = (7+1)x = 8x
7√3 + 1√3 = 8√3 
Math  Radicals 
Dorana,
Ohhh, Thank You!!!! :D

Math  Radicals 
Dorana,
But what if the numbers aren't the same as 2√8  3√2? Do you make them equivalent?

Math  Radicals 
Steve,
Sometimes you can
√8 = 2√2 so
2√83√2 = 4√23√2 = √2
But if you have something like
2√5 + 4√7 you're out of luck 
Math  Radicals 
Dorana,
That's what I don't get. How can √8 be equal to 2√2?

Math  Radicals 
Ms. Sue,
My calculator tells me they are the same.

Math  Radicals 
Steve,
√(ab) = √a√b
√8 = √(4*2) = √4√2 = 2√2