Unit 4 Radicals and Imaginary Numbers Jeopardy Template

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

$\root(3)(500u^14v^8)$

$5u^4v^2\root(3)(4u^2v^2)$