Adding and Subtracting Radicals Assignment

In simplest terms, Adam can see a√b feet farther than Pam. a = , b =

2, 6

What is the radical part of both and when the expressions are simplified?

A

Which of the following are like radicals? Check all of the boxes that apply.

A, B, D, F

Find the difference:

B

Pam's eye-level height is 256 feet above sea level and Adam's eye-level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? Use the for d =

B

Simplify the following expression completely, where x 0.

B

Which expression equals ?

B

Find the perimeter of the quadrilateral in simplest form

C

Find the sum .

D

What is the student's error? The student should not have multiplied each expression by two. The student simplified incorrectly. The student simplified incorrectly. The student incorrectly simplified .

D

Which is a like radical to after simplifying?

D

Three radical expressions have different radicands and, when simplified, are like radicals to .Describe key characteristics of these radical expressions.

Each of the three radical expressions has a radicand that is the product of 3xy and a perfect square if they can all be simplified to have a radicand of 3xy.

Given that is it ever possible to have Explain.

It is conceivable for the square root of the sum of the radicands to equal the square root of the sum of the square roots. The sums would be the same if an or b equaled zero. Since the square root of zero is zero, the radical would remain unchanged if it were added to a given radical. Moreover, the radicand's value would remain unchanged if zero was added.