Question

Express
26
in the form a +b√3, where a and b are integers.
4+√3

Answer 1

To express 26 in the form a +b√3, multiply the given expression by its conjugate and then simplify.

Step-by-step explanation:

To express 26 in the form a +b√3, where a and b are integers, we need to rationalize the denominator of the given expression.

Multiplying the numerator and denominator of 4+√3 by its conjugate 4-√3, we get: [(4+√3)(4-√3)] / (4-√3).

This simplifies to: (16-3) / (4-√3), which is equal to 13 / (4-√3).

Learn more about expressing a number in the form a +b√3