^440 squareroot (a+b)^440
my answer: |a+b|
add. squareroot 7a + 4 squareroot 28a^3
?
sqrt(7a) + 4 sqrt(28a^3)
=sqrt (7a) + 4 sqrt(4a^2*7a)
=sqrt(7a) + (4*2a)sqrt*7a)
= (1 + 8a) * sqrt(7a)
The meaning of what you wrote is unclear. If you meant the 440th root of (a+b)^440, then the answer is a + b. Since this is an even-numbered power,
-a-b is also an answer.
To simplify the expression ^440√(a+b)^440, you can start by recognizing that the exponent 440 is the same as raising the base (a+b) to the power of 440. Thus, the expression becomes:
(a+b)^(440/440)
The exponent simplifies to 1, so we are left with:
(a+b)^1
And since any number raised to the power of 1 is just itself, the answer to ^440√(a+b)^440 is simply (a+b).
Now, let's move on to simplifying the expression sqrt(7a) + 4sqrt(28a^3).
Since sqrt(7a) cannot be simplified any further, we can leave it as it is. However, sqrt(28a^3) can be simplified using the properties of exponents.
We can write 28a^3 as 4 * 7 * a^2 * a. Then, taking the square root of each term, we have:
sqrt(4) * sqrt(7) * sqrt(a^2) * sqrt(a)
Since sqrt(4) is 2 and sqrt(a^2) is a, the expression simplifies to:
2 * sqrt(7) * a * sqrt(a)
Combining like terms, we get:
2a * sqrt(7a) + 4sqrt(7a^3)
Therefore, the simplified expression is 2a * sqrt(7a) + 4sqrt(7a^3).