# could someone show me how to solve radical problems?

##### New member

1) 2 SQRT (x + 1) = 6

2) SQRT(3x^2 - 9) = 2x

3) [sqrt(x) + 1] / [sqrt(x) – 1] + [sqrt(x) – 1] / [sqrt(x) + 1]

#### stapel

##### Super Moderator
Staff member
1) Divide through by 2, square both sides, and solve the linear equation.

2) Square both sides. Then solve the resulting quadratic equation.

3) If this is an equation, there's a typo, because there is no "equals" sign. If this is an expression, then follow the procedure they taught you for rationalizing denominators (which will, as a side effect in this case, give you the common denominator).

If you get stuck, please reply showing how far you have gotten. Thank you.

Eliz.

##### New member
Thanks.

So I divide everything by 2. (x+1)/2 = 3

Is that correct so far?

#### stapel

##### Super Moderator
Staff member
So I divide everything by 2. (x+1)/2 = 3

Is that correct so far?
Two divided by two is 1, not 1/2. And what happened to the square root?

Eliz.