Honors Geometry

Algebra Review Summer Assignment

This assignment is to be completed over the summer and turned

in on the first day of school. In order to be successful in the Honors Geometry course, student need to have a good algebra

background and be able to solve algebraic equations. This assignment will count as our first assignment grade for Honors

Geometry.

Mr. Boggs

SquareRootsandSimplifyaRadical

Tofindmanyofouranswerwewillhavetotakethesquareroot.Tofindthesquarerootofanumberwearelookingforwhatnumbertimesitself=thatnumber. Example 25=5because 5 𝑥 5Thenumbersdonotalwaysworkoutaswholenumbersandtherearetimeswewillhavetosimplifytheradical.SimplifyaRadical Breakanumberintofactors 50= 5 𝑥 10= 5 𝑥 5 𝑥 2 Sincewearelookingforanumbertimesitselfandtherearetwonumber

5’swecrossitoffandbringitoutsidetheradicalsign. 50=5 2

Ifthereisanumberoutsidetheradical,youmultiplybythatnumber

Example3 4since3 2 𝑥 2wecrossoutthe22’sandbringitoutsideandmultiplytimesthe3.So3 4=6

Simplifythefollowingradicals:1. 20= 2. 12=3. 24= 4. 5 9=5. 4 8= 6. 3 36=