1) simplify √8/50
2
Answer: 5
2) simplifiical radical form √54
Answer: 3√6
3) simplifical radical form √(45t^12)
Answer: 3t6√5
4) simplifical radical form-assume all variables represent positive real numbers
√(32t^5 w^12)
Answer: 4t2w6 √2𝑡
5) simplify much as possible, assume all variable represnet positive real numbers:
4y²√(8yt²) + t√(50y^5)
Answer: 13y2t√2𝑦
6)simplify,assume all variables represent positive real numbers
√(2t²u³) √(10tu³)
Answer: 2tu3√5𝑡
7)Mult. simplify as much as possible
(√5 – 9√10)(5√5 + 6√10)
Answer: -195√2 − 515
8) rationalize the denominaroe& simplify
√33
----√55
Answer:
√15
5
9)write in simplified radical form by rationalizing the denominator
2√3 + 4
2√3+4
(4+2√3)(5+2√3)
√3)(5+2√3)
--------------- =−2√3+5 = (5−2
=
32+18√3
13
–2√3 + 5
Answer:
32+18√3
13
10) solve for y, where y is a real number, if more than one solution please give
√(y+27) =3
Answer: y=-18
11) solve for u where u is a real number, if more than one soluton please give
√(2u + 11) = √(8u +13)
Answer: u=-1/3
12) solve for z where z is a real number, if more than one solution please give
√(– z +6) = z
Answer: 2
13) find the side lengh x, round answer to the nearest tenth.
left side 12
right side 10
top x
right angle between 12 and 10
Answer: 15.6
14) simplify 253/2 ( just to let you know that 3 is on top of the 2)
Answer: 125
15) compute the following ³√–64
Answer: -4
16) write the following i simplified radical form 4√(32)
Answer: 16√2
17) write the expression i simplified radical form assume all variable in the expression
represent positive real numbers 5√(19t^5w^4)
Answer: 5t2w2√19𝑡
18) find the roots of the quadratic equation, if more than one answer give
u² + 3u –10 = 0
Answer: -5, 2
19) solve if more than one solution give 4u² = 6u + 4
Answer: -1/2, 2
20) solve the equation if more than one solution please give (x –4)² = 2x² – 12x–5
Answer: -3,7
21) solve x² = 12, where x is a real number, simplify answer as much as possible if more
than one solution give
Answer: -2√3, 2√3
22) solve ( y+3)² – 63 = 0, where y is a real number, simplify answer as much as possible,
if more than one solution give
Answer: −3 + 3√7, −3 + 3√7
23) compute the value of the discriminant and give the number of real solutins t the
quadratic equation 8x² + 8x + 1 = 0
Answers:
Discriminant= 32;
2 real solutions
24)When a ball is thrown, its height in fee h after t seconds is given by the equation
h = vt – 16t²
where v is the initial upward velocity in feet per second. If v= 19 feet per second, find all
values of t for which h = 5 feet. Do not round any intermediate steps, round answer to 2
decimal , if more than one solution please give.
Answer:
0.39, 0.79
25) Use the quadratic formula t solve for x if more than one solution please give.
5x² + 9x + 2 = 0
Answer:
−9+√41 −9−√41
10
,
10