Math  Radicals
posted by Dorana .
How do you solve 7√3 + √3? I really need help.

7 apples + an apple = 8 apples
7x + x = 8x
7√3 + √3 = 8√3 
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 
Ohhh, Thank You!!!! :D

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

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 
That's what I don't get. How can √8 be equal to 2√2?

My calculator tells me they are the same.

√(ab) = √a√b
√8 = √(4*2) = √4√2 = 2√2
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