Mathematics Past Questions and Answers

If \(\frac{1+\sqrt{2}}{1-\sqrt{2}}\) is expressed in the form of x+y√2 find the values of x and y

If x = {n²+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5},
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.

Rationalize \(\frac{2\sqrt{3} + \sqrt{5}}{\sqrt{5} - \sqrt{3}}\)

Express the product of 0.21 and 0.34 in standard form

If y varies directly as the square root of x and y = 3 when x = 16. Calculate y when x = 64