Question:medium

The integer just greater than \((3 + \sqrt{5})^{2n}\) is divisible by

Show Hint

Use conjugates to evaluate expressions with irrational powers.

Updated On: Mar 23, 2026

\(2^{\,n-1}\)
\(2^{\,n+1}\)
\(2^{\,n+2}\)
Not divisible by 2

Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?

0

Top Questions on Algebra

If the word "BITS" is coded using \( A=1, B=2, \ldots, Z=26 \), and the code is the sum of the squares of each letter's value, what is the code for the word?
- BITSAT - 2025
- Mathematics
- Algebra
View Solution
Which one of the following mathematical structure forms a group?
- CUET (PG) - 2025
- Mathematics
- Algebra
View Solution
The integral domain of which cardinality is not possible:
A. 5
B. 6
C. 7
D. 10
- CUET (PG) - 2025
- Mathematics
- Algebra
View Solution
What is the value of \( \left( \frac{3^{81}}{27^4} \right)^{\frac{1}{3}} \)?
- GATE EE - 2025
- General Aptitude
- Algebra
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics