Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to solve equations that include radical expressions, where the variable is the radicand, by raising each side to a power.

Q1:

The natural way to solve β π₯ + 9 β 2 π₯ = 3 introduces an extraneous solution. What is that extraneous solution?

Q2:

Solve β π₯ β 5 = β 1 .

Q3:

Solve β π₯ + 4 + 2 = 7 .

Q4:

Find the value of π₯ given that 3 β π₯ = β β 3 6 .

Q5:

Find the solution set of the equation β β π₯ + 1 = 7 3 , given that π₯ β β .

Q6:

Find the value of π₯ for which β 1 2 2 5 = β 4 0 0 + β π₯ .

Q7:

Given that 3 ο β π₯ + 3 4 = 4 , find the value of π₯ .

Q8:

For what value of π is π₯ = 1 introduced as an extraneous solution to the equation π₯ = β π₯ + 3 + π when it is solved in the natural way?

Q9:

In order to solve the equation , Fady started with

What solutions did Fady find?

Q10:

Given that β 7 + 1 8 9 = 5 + π₯ , find π₯ .

Q11:

What is the solution set of the equation π₯ + β π₯ + 2 0 π₯ + 1 0 0 = 5 2 ?

Q12:

Solve β π¦ = 4 0 .

Q13:

Find the value of π₯ given that 3 β π₯ = 1 0 .

Q14:

Solve β π₯ = 2 β 7 + 5 .

Q15:

Find the solution set of οΊ β π₯ β 9 ο = 4 1 2 in β .

Q16:

Solve | | β β 0 . 5 1 2 | | = β π₯ 3 .

Q17:

Solve β π¦ = 8 . 5 .

Q18:

Consider the following argument for solving β 3 = β π₯ :

What mistake was made?

Donβt have an account? Sign Up