exam Maths Puzzle Numerical Ability

rationalize the denominators: Can you explain how to do this? What steps to follow?

5 sqrt 2 - sq rt 5 (numerator)
5 sqrt 2 + sq rt 5 (denominator)

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exam Other Question

Solve the system of equations.

2x + y = 0

x - 3y + z = 0

3x + y - z = 0
Please help with the following:

Let A= 2 -1
4 3
B= [3 1]

Perform the following operations if possible:
a. 4BA
b. B^2
c. A+2B

Am I right in the possiblity that a and c are not possible?