Solve Radical (Square Root) Equations with Two Radicals

This video shows how to solve square root (radical) equations with two radical expressions. The equations are rearranged so that one radical is on each side of the equals and then both sides are squared. This process is then repeated until there are no radicals remaining.

[vl.revenge]

TYSMMM. I’m in Algebra 3 Honors and trying my best to maintain my 96% in the class. Our teacher never went over a problem like this where one side of the equation has a constant after the square root (3) on problem a. This makes so much senseeee

[Kaylaamori]

Thank you for this video. Straightforward and easy to understand. Following along helped me get a problem I had been stuck on for nearly 20 minutes, massive gratitude.

[mendozajovy]

Square both sides. Then simplify. The simplification is very long and should be accurate. It must also follow the laws of exponents.

[ojkk]

Dude the fact that i still dont get it makes me want to jump

[lania.m]

So by squaring the radical X-2 +3 will not undo the x-2 under the root ? The very first problem

[bodeschelhaas]

On the equation rule when do you know to use + or subtracting in the beginning for (a+b)^2 =a^2-2ab+b^2

[capbar]

Im gonna cry i still dont get it, how do u do the 2AB part

[INDIANATHEIST]

Saw thumbnail and guessed squaring immediately

[ryonjxy]

I tried doing this with the equation : sqrt(9-x) = -2 + sqrt(4x -4) and it didnt work... my test is tomorrow 😬

[vjlaxmanan]

I wud've got rid of the factor 3 in the last step :( in (a) .

[eloheministris]

I have an one doubt xsquare +24x+144=48x+64 then xsquare-24x+80=0 how? What about 48x after the equal symbol

[touhami]

Calculus without rules is not mathematc.
1fest equation is equivalent to :
6sqrt(x-2)=3x-6 equivalent to
4(x-2)=(x-2)^2 and x>=0.

2nd equivalent to :
sqrt(2x-4)+2= sqrt(3x+4).
In this way, we can square both sides because they are positives (same sign).

[giuseppemalaguti]

a) Ho sbagliato b.... che risulta 4, 20