15. Introduction to Square Roots

Question 1

Define “Bisection Method”

Answer 1

1. A way of approximating square roots by finding the perfect square larger than the number and the perfect square smaller than the number and and finding the term in the middle to come close to finding the actual square root

Question 2

Define “Perfect Square”

Answer 2

1. A number whose square root is some whole number multiplied by itself

Question 3

Define “Radical”

Answer 3

1. Another name for a square root

Question 4

Define “Radical Symbol”

Answer 4

1. Another name for a square root symbol

Question 5

Define “Square Root”

Answer 5

1. A number that you can multiply by itself to get a certain value

Question 6

What is the 1st rule for operations with square roots?

Answer 6

1. If two square roots are being multiplied, you can simply multiply the numbers and place them under one square root symbol

Question 7

What is the 2nd rule for operations with square roots?

Answer 7

1. If two numbers are being subtracted inside a square root symbol, you cannot break them up into two square roots

Question 8

What is the 3rd rule for operations with square roots?

Answer 8

1. You can only add or subtract square roots if the numbers under the radical symbols are are the same

Question 9

What is the first step when adding or subtracting two radicals?

Answer 9

1. Rewrite or simplify so that like terms appear inside the radical

Question 10

What is the second step when adding or subtracting two radicals?

Answer 10

1. Add or subtract

Question 11

What is the 1st common mistake when working with radicals?

Answer 11

1. Separating the numbers under the radical that are being added or subtracted

Question 12

What is the 2nd common mistake when working with radicals?

Answer 12

1. Adding square roots that don’t have like radicals

Question 13

What is the 3rd common mistake when working with radicals?

Answer 13

1. Not copying all the pieces of the answer into the final answer in a multi-step problem