Add 2√8 + 3√8.(1 point)
To add 2√8 + 3√8, we first recognize that both terms have the same radicand of 8. Therefore, we can combine them by adding the coefficients:
2√8 + 3√8 = (2 + 3)√8 = 5√8
So, the sum of 2√8 and 3√8 is 5√8.
To add √31 + √31, we simply combine the like terms:
√31 + √31 = 2√31
So, the sum of √31 and √31 is 2√31.
To subtract 7√5 - 4√5, we simply combine the like terms:
7√5 - 4√5 = (7 - 4)√5 = 3√5
So, the difference between 7√5 and 4√5 is 3√5.
To subtract √29 - √29, we can simplify the expression by combining the like terms:
√29 - √29 = 0
So, the difference between √29 and √29 is 0.
To simplify the expression 2√8 + 3√8, we can first combine the terms with the same radical (√8). The coefficients in front of the radicals (2 and 3) can be added together, resulting in 5. Thus, we have:
2√8 + 3√8 = (2 + 3)√8 = 5√8
So the simplified expression is 5√8.
To calculate the value of 5√8, we can consider that √8 can be broken down into its prime factors. We know that √8 is equal to √(2 * 2 * 2). Taking out the pairs of identical factors, we have:
√8 = √(2 * 2 * 2) = 2√2
Substituting this back into the original expression:
5√8 = 5(2√2) = 10√2
So the simplified and calculated value of 2√8 + 3√8 is 10√2.
To add 2√8 + 3√8, you can combine the like terms. Since both terms have the same coefficient (2 and 3) and the same radical (√8), you can simply add the coefficients 2 and 3.
2√8 + 3√8 = (2+3)√8
This gives us 5√8 as the final answer.