Unit 2B ­ Sci Note & Roots SMART NOTES.notebook

1

October 24, 2018

SQUARES & SQUARE ROOTSThe square root of a number is ONE of its TWO EQUAL factors; a number times ITSELF hs to equal the given number. For example, 25 has two equal factors of 5, this means 5 is the SQUARE ROOT of 25. Five times ITSELF equals 25. Negative five times itself is also 25.

A radical symbol ________ is used to indicate square root.

You CANNOT find the square root of a negative number because no number times itself will give you a negative answer.

Every positive number has both a positive and a negative square root.• If there is a "+" in front of the radical, you have to state both roots.• If there is a "­" in front of the radical, state only the negative root.• If there is nothing in front, then give only the positive root.• If there is no answer, then write, "no real solution."

EXAMPLES

1.) √64 2.) +√ 1.21 3.) +√ 25 4.) √­16 36

5.) √ 9 6.) +√0.81 7.) ­√64 8.) √­100 16

9.) Solve t2 = 169 10.) 289 = a2

11.) m2 = 0.09 12.) y2 = 4 25

Unit 2B ­ Sci Note & Roots SMART NOTES.notebook

2

October 24, 2018

PERFECT SQUARES & PERFECT CUBESYou are expected to memorize the following perfect squares & perfect cubes. there will be TIMED assessments, so start committing these to memory.

12 = _____ √1 = _____22 = _____ √4 = _____32 = _____ √9 = _____42 = _____ √16 = _____52 = _____ √25 = _____62 = _____ √36 = _____72 = _____ √49 = _____82 = _____ √64 = _____92 = _____ √81 = _____102 = _____ √100 = _____112 = _____ √121 = _____122 = _____ √144 = _____132 = _____ √169 = _____142 = _____ √196 = _____152 = _____ √225 = _____162 = _____ √256 = _____172 = _____ √289 = _____182 = _____ √324 = _____192 = _____ √361 = _____202 = _____ √400 = _____212 = _____ √441 = _____222 = _____ √484 = _____232 = _____ √529 = _____242 = _____ √576 = _____252 = _____ √625 = _____13 = _____ ∛1 = _____23 = _____ ∛8 = _____33 = _____ ∛27 = _____43 = _____ ∛64 = _____53 = _____ ∛125 = _____63 = _____ ∛216 = _____103 = _____ ∛1000 = _____