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√8-3√2 = 4√2-3√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
To solve the expression 7√3 + √3, we can combine the like terms together. In this case, both terms involve the square root of 3 (√3).
Step 1: Identify the like terms
In the given expression, 7√3 and √3 are like terms because they both involve the square root of 3.
Step 2: Combine the like terms
To combine the like terms, simply add their coefficients together while keeping the square root of 3 unchanged.
7√3 + √3 = (7 + 1)√3
Simplifying further, we have:
(7 + 1)√3 = 8√3
Therefore, the expression 7√3 + √3 simplifies to 8√3.