Aptitude - Surds and Indices - Discussion

Discussion Forum : Surds and Indices - General Questions (Q.No. 15)
15.
If x = 3 + 22, then the value of x - 1 is:
x
1
2
22
33
Answer: Option
Explanation:

x - 1 2 = x + 1 - 2
x x

   = (3 + 22) + 1 - 2
(3 + 22)

   = (3 + 22) + 1 x (3 - 22) - 2
(3 + 22) (3 - 22)

   = (3 + 22) + (3 - 22) - 2

   = 4.

x - 1 = 2.
x

Discussion:
48 comments Page 3 of 5.

BFC said:   7 years ago
How to solve 4th step the denominator (3+2√2) (3-2√2)? Please explain.

Shaya said:   4 years ago
For what reason we are multiplying 3-2 √x / 3-2 √x? Please explain me.

Mahima said:   8 years ago
4th step how to solve the denominator (3+2√2)(3-2√2)? Please explain.

Sefah said:   1 decade ago
How do we get the square in the 1st step because it wasn't part of the question?

Srinivas said:   10 years ago
4th step is the problem. Where did the denominator go. No proper explanation.

Ravi said:   1 decade ago
How the value of the (3-2 2)(3+2 2)=1?
Here "2 2" means what ?

Rishu Raj said:   3 years ago
@All.

Here, basically the value of X = 3+2✓2. Is a square of (✓2+1) ^2.
(3)

Mohan said:   6 years ago
@Joe.

In the first step, it is in the form of (a-b) ^2 formula.

Gayathri said:   1 decade ago
Here given 'x' value only not root 'x'. So answer is 2(1+root2).

Obentulu said:   3 years ago
From the first step, how 2 come? Someone explain this better.
(1)


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