# Algebra

Find the following. Assume that variables can represent any real number.
SqRt(a+8)^2=

8a^2?

1. 👍
2. 👎
3. 👁
1. sqrt[(a+8)^2] = a+8 or -a-8

1. 👍
2. 👎
2. No, when we take the sqrt of a squared term, we get that term, or its negative.

So, sqrt(x²)=x or sqrt(x²)=-x

So for this question we get that:

sqrt((a+8)²)=a+8 or sqrt((a+8)²)=-a-8

1. 👍
2. 👎

## Similar Questions

1. ### math;)

Find the unit vector in the direction of u=(-3,2). Write your answer as a linear combination of the standard unit vectors i and j. a. u=-3[sqrt(13)/13]i+2[sqrt(13)/13]j b. u=-3[sqrt(5)/5]i+2[sqrt(5)/5]j c.

2. ### Trig

Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4). (0 is not the number zero I don't know what its called) I have to find r first. r=sqrt x^2+y^2

The domain of f(x)=(1)/(sqrt(x^2-6x-7)) is (1, 7) [-1, 7] x > -1 or x < 7 ***{x < -1}U{x > 7} (-∞, -1]U[7, ∞) 2. In which of the following is y a function of x? I. y^2=9-x^2 II. |y|=x III. y=(sqrt(x^2))^3 I only II only III

4. ### calc: avg value

Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(b-a))*inegral of a to b for: f(x) dx f

1. ### algebra

Simplify each radical expression. Assume all variables represent positive real numbers ãa^10

2. ### Algebra

Evaluate sqrt7x (sqrt x-7 sqrt7) Show your work. sqrt(7)*sqrt(x)-sqrt(7)*7*sqrt(7) sqrt(7*x)-7*sqrt(7*7) sqrt(7x)-7*sqrt(7^2) x*sqrt 7x-49*x ^^^ would this be my final answer?

3. ### Math Proof

Prove that square root of 12 is irrational. **I don't know if I did this correctly PF: By contrapositive, assume sqrt(12) is rational. Then there exist an a,b as integers such that a/b is written in the lowest terms, and

4. ### algebra

Simplify the expression. Assume all variables represent nonzero real numbers (x^5)^-10

1. ### math

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero real numbers. 1. (12k^-2(k^-3)^-4)/(6k^5) 2. (3rs^-2)/(3^2r^2s^-4)

2. ### Algebra 2

Simplify sqrt(72x^3)-5xsqrt(2x). Assume that each radical represents a real number. I need all of the steps. Thanks

3. ### math

simplify as much as possible. Assume that all variables represent positive real number 4x√32xv^2 + v√2x^3

4. ### Math

Use the product property for radicals to simplify the following radical expressions as much as possible. Assume all variables represent positive numbers. Use sqrt(x) for √x and root(x)(y) for x√y. 3√750x^4y^7