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 2 of 5.

Abisheak said:   6 years ago
Where is the power 2 comes from in the starting stage? We can See that there is no power mentioned in the question.

Harigovind C B said:   8 years ago
if a÷b=4÷5 and b÷c=15÷16 , then (c^2-a^2)÷c^2+a^2 is equal to?

Can anyone solve this?

Shahid said:   1 decade ago
Convert the expression x into (a+b)^2 form

with a=squareroot(2) and b=1

and then after that try it

Raja raviteja said:   9 years ago
^2 = 1.414.
3 + 2^2 = 5.828. Where ^x = ^5.818 = 2.414.

So, ^x - 1/^x = 2.414 - (1/2.414) = 2 =>answer.

Vicky said:   1 decade ago
Question is to find (x^1/2 - 1/x^1/2).
Then why there is square in the explanations first line.
Why?

Rakshith said:   6 years ago
@Abisheak.

We have taken that power to get the equation and rooted in the final to get the answer.
(1)

Bishal Dey said:   8 years ago
= 3+2√2 + 1/3+2√2 -2,
= 3+2√2 + 3 - 2√2 -2,
=6-2.
=4.
=√4=2.

Varun said:   1 decade ago
Question is to find (x^1/2 - 1/x^1/2)
Then there is square in the explanations first line.

Swetha said:   1 decade ago
Can anyone please explain whole sum clearly how -2 came in the 2nd step of the sum?

Milind said:   7 years ago
(√x-1/√) -2 = (x + 1/x) - 2.

Can you tell me where this -2 comes from?


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