add 2√ 8 + 3√ 8

9 answers

To simplify the expression 2√8 + 3√8, we can combine the like terms.

First, let's factor out the square root of 8:

√8 = √(4 × 2) = √4 × √2 = 2√2

Now we can rewrite the expression:

2√8 + 3√8 = 2(2√2) + 3(2√2)

Using the distributive property, we can simplify further:

= 4√2 + 6√2

Now we have like terms, so we can add them:

= (4 + 6)√2

= 10√2

Therefore, 2√8 + 3√8 = 10√2
thats incorrect different awsner
Apologies for the incorrect response.

To simplify 2√8 + 3√8, we can combine the like terms:

2√8 + 3√8 = (2 + 3)√8 = 5√8

To simplify the square root of 8, we can factor out the largest square number that divides 8:

√8 = √(4 × 2) = √4 × √2 = 2√2

Substituting this back into the expression:

5√8 = 5(2√2) = 10√2

Therefore, the simplified expression is 10√2.
add √31 + √31
To simplify the expression √31 + √31, we can combine the like terms:

√31 + √31 = 2√31

Therefore, the simplified expression is 2√31.
subtract √29 - √29
To subtract √29 - √29, we can combine the two square root terms:

√29 - √29 = 0

Therefore, the result is 0.
add ^3√22 + 3√22 +√22
To simplify the expression ^3√22 + 3√22 +√22, we can combine the like terms:

^3√22 + 3√22 +√22 = (1 + 3 + 1)√22

Simplifying the coefficient:

(1 + 3 + 1)√22 = 5√22

Therefore, the simplified expression is 5√22.