add 2√ 8 + 3√ 8
To simplify this expression, we can combine like terms:
2√8 + 3√8 = (2 + 3)√8 = 5√8
So the simplified expression is 5√8.
To add the expressions 2√8 and 3√8, we can start by simplifying both terms.
√8 can be simplified as follows:
√8 = √(4 × 2) = √4 × √2 = 2√2
Now we can substitute this simplified form into the original expression:
2√8 + 3√8 = 2(2√2) + 3(2√2)
Next, we can distribute the coefficients:
= 4√2 + 6√2
Finally, we can combine the like terms:
= (4 + 6)√2
= 10√2
So, the sum of 2√8 and 3√8 is 10√2.
To add the terms 2√8 and 3√8, you can combine them because they have the same radical (√8).
Step 1: Simplify each radical separately.
√8 can be simplified by factoring 8 as the product of its perfect square factors: 4 and 2.
√8 = √(4 * 2) = √4 * √2 = 2√2
Step 2: Combine the terms with the same radicals.
2√8 + 3√8 = 2(2√2) + 3(2√2)
Step 3: Distribute the coefficients.
2(2√2) + 3(2√2) = 4√2 + 6√2
Step 4: Combine like terms.
4√2 + 6√2 = 10√2
The final answer is 10√2.