University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2021
Views:

432

Pages:

4
Author:

Gudrunecg9m

Unit 2 Square Roots, GCF, LCM, Laws of Exponents Simplify √51 = √(3 * 17) = √3 * √17 √52 = √(4 * 13) = 2√13 √53 = √53 √54 = √(9 * 6) = 3√6 √55 = √(5 * 11) = √5 * √11 √56 = √(4 * 14) = 2√14 √57 = √57 √58 = √(2 * 29) = 2√29 √59 = √59 √60 = √(4 * 15) = 2√15 Key things you must know: Square root is a number that two numbers multiply together to equal the number inside the radical. Use calculator keys Simplify √15x = √15 * √x √51x = √51 * √x Ex. 5) The expression above should be further simplified for which value of x? A) 9 B) 15 C) 51 D) 81 Ex. 6) The expression above should be further simplified for which value of x? A) 15 B) 51 C) 14 D) 3 Steps for Examples 5 and 6 Find all the factors of the number next to under square root. Find the smallest number (other than 1) and divide it into all the choices. If it goes in evenly into one of the choices, that choice is your answer. If not, continue this process with the rest of the factors. For Examples 7 and 8 Take the number in front of the radical in the question and divide it by the number in front of the radical by the x. Take that number and square it. That number is your answer. Ex. 7) Which value of x makes the expression above equivalent to 15/√17? A) 5 B) 15 C) 50 D) 100 Ex. 8) Which value of x makes the expression above equivalent to 15/√17? A) 15 B) 51 C) 14/2 D) 8/18 Ex. 9) √(16 - 4√10) = 15 5√10 = 15 Ex. 10) 5√2 + √18 = 11.3 Operations with Square Roots Enter the problem into a calculator to find the decimal. Enter the choices into a calculator to find the decimals. Find the match. If there is more than one match, go with the smaller number under the square root. Ex. 11) 7√7 - 2√28 = 7.9 3√7 = 7.9