Can You Solve these If-Then Radical Equations? | Step-by-Step Explanation

[aashsyed]

THANKS SO MUCH! i appreciate the effort. thanks so much! A LOT!

[edyap]

I like premath....the explanation is so clear..the best anyway

[mustafizrahman]

Many many thanks for giving these types of problems. You are great.

[govindashit]

Thank you so much.
mujhe math se love hone laga, app ka solution se.

[DetCoAnimeFan]

After seeing a lot of problems in youtube about maths, I realize that in competitions we must first simply things and that needs a tonne of practice. Also I think this was quite easy, but nevertheless I like your channel.

[brainartgirl]

Sir, x being a positive number, the last 2 shouldn' t be positive?

[ishaanlakhera]

We can also write 7+4√3 = 4 +√3 +2*2*√3 =(2+√3)^2 , by the way gud question for understanding basics of irrational algebra.

[justabunga]

The last two answers cannot have the answer to be negative because the equation is always positive. Therefore, the answer is only 4 and 2sqrt(3).

[HassanLakiss]

Thank you for a nice question and well explained. With respect, if x is positive then
√x +1/√x ≠ - 4.

[aashsyed]

Cool video! thanks so much for these joyful moments!

[MathZoneKH]

Thank you so much for this ! I learned a lot from your Chanel !

[-papy]

Très intéressant. Vous êtes très fort. Merci. I follow you from France. Thanks

[fongalex]

The cause of - ve solutions is taking square in the intermediate step. Calculation is not completed when false solution is not eliminated.

[georgesbv]

(2+sqrt(3))^2=7+4sqrt(3), = 4, no negative since you are very sure what is x
The negative solution would be true for sqrt(x)-1/sqrt(x) ONLY IF x would be 7-4 sqrt(3)

[piman]

The square root sign by itself means "the positive square root of."

[theophonchana]

(Square root of x) - (1÷square root of x) = Square root of 12 = 2 × square root of 3

[seegeeaye]

from given x, we can have the equation x^2 - 14x + 1 = 0, then both sides divided by x,
we have the first answer x + 1/x = 14, from which the rest are easy.

[mustafizrahman]

Ha ha, I have thought that you will give these types of problems now. I have solved these types of problems more than about 300 times. However x+(1/x)=14, x^2 + (1/x)^2 = 194, root x + (1/root x) = plus minus 4 and thanks

[theophonchana]

((Square root of x) + (1/square root of x))^(2) = 16

[theophonchana]

(Square root of x) + (1/square root of x) = 4