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Examples of radical equation: -

i) Square both sides of the equation,

√ (4 x + 1) = √ x

(4 x + 1) = x

ii) Subtract from both sides of the equation,

(4 x + 1) – 1 = x -1

4 x = x – 1

iii) Subtract x both sides

4 x - x = (x – 1) – x

3 x = - 1

iv) Divide both sides by 3.

3 x / 3 = - 1/ 3

x = - 1/ 3

√ (x ^ 2 – 10 x + 25) = 0

Or, √(x^2 – 2 * x * 5 + 5^2) = 0

Or, √ (x – 5) ^2 = 0

Or, (x – 5) = 0

Or, x = 5

Therefore x = 5.

√ x = 2

Or, x = 2 ^2

Or, x = 4

Therefore x = 4