All your friends (imaginary)
You Simpletons
Radical Problems Require Radical Solutions
Clean it Up
100
Simplify
\sqrt(-72)
6i\sqrt2
100
Draw a panda with a santa hat
100
Solve for x
3x^2+147=0
x=+-7i
100
Simplify
64^(-2/3)
1/16
200
Simplify
(2+3i)-(5+7i)
-3-4i
200
Simplify
\root(3)(128x^11z^6)
4x^3z^2\root(3)(2x^2)
200
Write the transformations of the following function:
f(x)=\sqrt(-2(x-3))
Reflection across the y-axis
Horizontal shrink by 1/2
Right 3
200
Simplify
(15)/(\sqrt5)
(15\sqrt5)/5=3\sqrt5
300
Simplify
i^39
i^(9r3)=i^3=-i
300
Simplify
\root(4)(324a^14b^3)/\root(4)(2a^3b)
\root(4)(162a^11b^2)=3a^2\root(4)(2a^3b^2)
300
Give the domain and range of the following function
Hint: graph on your calculator!
f(x)=-4\sqrt(x-5)+3
Domain:
[5,\infty)
Range:
(-\infty,3]
300
Simplify
11-\sqrt(32)+\sqrt(18)+4
15-\sqrt(2)
400
Simplify
\sqrt(-4)*\sqrt(-9)
Because there are negatives in each radical, simplify each radical first, don't combine them yet!
2i*3i=6i^2
-6
400
Simplify
5\sqrt3(2\sqrt2-\sqrt12)
10\sqrt6-5\sqrt36
10\sqrt6-30
400
Solve for x. Check for extraneous solutions.
\sqrt(x-1)+4=x-3
x=5,10
5 is extraneous, so
x=10
400
Simplify
\root(3)(500u^14v^8)
5u^4v^2\root(3)(4u^2v^2)