add 2 square root 8 + 3 square root 8
To add 2√8 + 3√8, you can combine the like terms, which means combining the coefficients and the square root term:
2√8 + 3√8 = (2 + 3)√8
Simplifying the coefficient:
(2 + 3)√8 = 5√8
Therefore, 2√8 + 3√8 = 5√8.
wrong
Apologies for the confusion. Let's solve it correctly.
Given: 2√8 + 3√8
Both terms have the same square root (√8), so we can combine them:
2√8 + 3√8 = (2 + 3)√8
Simplifying the coefficients:
(2 + 3)√8 = 5√8
Therefore, 2√8 + 3√8 = 5√8.
add sqrt 31 + sqrt 31
To add √31 + √31, we follow a similar process. Since both terms have the same square root (√31), we can combine them:
√31 + √31 = (1 + 1)√31
Simplifying the coefficients:
(1 + 1) √31 = 2√31
Therefore, √31 + √31 = 2√31.
subtract 7 sqrt 5 - 4 sqrt 5
To subtract 7√5 - 4√5, we can follow the same process. Since both terms have the same square root (√5), we can combine them:
7√5 - 4√5 = (7 - 4)√5
Simplifying the coefficients:
(7 - 4)√5 = 3√5
Therefore, 7√5 - 4√5 = 3√5.
sqrt 29 - sqrt 29
√29 - √29 = 0
Therefore, √29 - √29 equals zero.
To simplify the expression "2√8 + 3√8", you can first combine the like terms.
Step 1: Identify the like terms in the expression. In this case, both terms contain the square root of 8.
Step 2: Add the coefficients of the like terms. The coefficient of the first term is 2, and the coefficient of the second term is 3.
Step 3: Combine the coefficients and leave the square root of 8 unchanged. The result is (2 + 3)√8.
Step 4: Simplify the coefficient. The sum of 2 and 3 is 5.
Therefore, "2√8 + 3√8" simplifies to 5√8.