Add 2√/8 +3√8
To simplify the expression 2√8 + 3√8, we will start by noticing that both terms have the same radicand (which is 8), so we can combine them.
Step 1: Add the coefficients (numbers in front of the square root)
2 + 3 = 5
Step 2: Keep the same radicand (8)
√8
Putting it together, we get:
5√8
To add 2√/8 and 3√8, you first need to simplify each term.
2√/8 can be simplified as follows:
2√/8 = 2 * (√2)/8 = (√2)/4
3√8 can be simplified as follows:
3√8 = 3 * (√2 * √4) = 3 * (2√2) = 6√2
Now, you can add the simplified terms:
(√2)/4 + 6√2
Since the terms have different radicals (√2 and √2), they cannot be combined directly. Therefore, the sum of 2√/8 and 3√8 is (√2)/4 + 6√2.
To simplify the expression: 2√(8) + 3√(8), we can start by simplifying the square root of 8.
The square root of 8 can be written as √(4 * 2).
Since the square root of 4 is 2, we can rewrite it as 2√(2).
Now we have: 2√(2) + 3√(8).
To combine like terms, we notice that both terms have √(8), so we can add them together.
2√(2) + 3√(8) = 2√(2) + 3 * 2√(2).
Now, we have two terms with the same square root value (√(2)), so we can combine them.
2√(2) + 3 * 2√(2) = 2√(2) + 6√(2).
Finally, we have like terms again, so we can combine them.
2√(2) + 6√(2) = 8√(2).
Therefore, the simplified expression is 8√(2).