# algebra

posted by Carl Wheezer

am I right?
sqrt 50
5 sqrt ^2***
2 sqrt ^5
5 sqrt ^10
5
2. Simplify the radical expression sqrt 56x^2
28x
2x sqrt 14***
2x sqrt 7
sqrt 14x2

sqrt 490y^5w^6
2 sqrt 135y^2
2y sqrt 135***
27 sqrt 15y^2
27y sqrt 15

sqrt15y multiplied by 3 sqrt 81y
2 sqrt 135y^2
2y sqrt 135***
27 sqrt 15y^2
27y sqrt 15

sqrt 20x^13y^5/5xy^7
sqrt 4x^12/y^2
2x^6/y
2 sqrt x^12/y^2
2x^6y***

sqrt 5+6 sqrt 5
5 sqrt 5
7 sqrt 10***
7 sqrt 5
5 sqrt 10

5 sqrt 7 + 3 sqrt 175
7 sqrt 182
15 sqrt 14
5 sqrt 175***
15 sqrt 7

(3+sqrt6)(3-sqrt6)
-27
3
9+6sqrt6
15+6sqrt6***

9. What is the domain function? y=sqrt3x+3
x<=-1
x>1
x>=-1***
x<1

10.Simplify the radical expression by rationalizing the denominator.
3 sqrt 160/sqrt 1350x***
2 sqrt 15x/15x
3 sqrt 160/1359x
4sqrt15x/15x
4/sqrt45x

1. Reiny

#1 and #2 are correct

#3
√(490y^5w^6)
= √49√10 (y^2√y)(w^3)
= 7√10 y^2w^3 √y <--- not one of the choices

#4
(√(15y))(3√(81y))
= √15√y (27√y)
= 27y√15

#5 can't tell where the square root ends without brackets

#6
1 apple + 6 apples = 7apples
1dollar + 6 dollars = 7 dollars
1√5+ 6√5 = 7√5

#7
5 √7 + 3√175
= 5√7 + 3√25√7
= 5√7+15√7
= 20√7 <--- not one of the choices! but correct answer

#8
(3+sqrt6)(3-sqrt6)
difference of square pattern
= 9 - 6
= 3

#9
y=√3x+3
depends if brackets are needed

the way you typed it, domain is x ≥ 0
if you meant:
y = √(3x+3) , then 3x+3 ≥ 0 ----> x ≥ -1

#10
3√160/√(1350x) ,
= 12√10 / (√10√135√x)
= 12/√(135x) * √(135x)/√(135x)
= 12√(135x)/135x

3 sqrt 160/1359x would have been a correct expression if it had brackets such as:
3√(160/(1359x) ) , but then it would not have been rationalized.
None of the other choices are correct.

You got 2 right out of 10
guessing would have given you (1/4)(10) or 2.5 correct.
You did worse than just plain guessing.

Where did you get these questions??

2. Carl Wheezer

I noticed I completely switched up choices of some answers due to the fact I had to write all these answers down and it my mind felt cluttered. thanks for the reply though, would you like if I were to rewrite them all or something?

3. Carl Wheezer

actually nevermind I finished the questions rn my answers are correct thank you

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