Module 5 Real Numbers

• 2; positive and negative

• 1; positive

• none; no solution

Answer explanation

The square root of a number, like √100, has two solutions: +10 and -10. Therefore, the correct answer is 2; positive and negative.

Why does a negative underneath a radical create a "no solution" answer in math?

• Negative numbers can be simplified to positive under a radical.

• Radicals with negatives are always solvable in the real number system.

• Because you cannot multiply the same number to get a negative answer, you will end up with positive every time.

Answer explanation

A negative under a radical leads to no solution in the real number system because no real number squared gives a negative result. Thus, the only outcomes from squaring are positive or zero.

• 11

• -11

• -10

• -12

Answer explanation

To solve -√121, we first find √121, which is 11. The negative sign in front indicates we take the negative value, resulting in -11. Therefore, the correct answer is -11.

-2.5

Select the correct Subset "Group" for

the Real Number.

True or False: The set of irrational numbers is a subset of rational numbers.

• True

• False

Which expression is irrational?

Tina was provided the list of numbers below. Which of the numbers in the list are irrational numbers?

• None of them

• All of them

• 1.467295 and √225 only

• 10π and √5/4

Find the area of the square with the given dimensions of 4 ft.

• Terminates

• Repeats