Question

2) For which value of P and W is P + W a rational number? P = 1/(sqrt(3)) And W = 1/(sqrt(6)) 2) P = 1/(sqrt(4)) and w = 1/(sqrt(9)) 3) P = 1/(sqrt(6)) and w = 1/(sqrt(10)) 4) P = 1/(sqrt(25)) and W = 1/(sqrt(2))

Answer 1

Answer:1

Explanation:

Answer 2

P = 1/(sqrt(4)) and w = 1/(sqrt(9))

Explanation:

Only the roots of perfect squares are rational numbers. 2, 3, 6, and 10 are not perfect squares, so their roots are irrational. Both 4 and 9 are perfect squares, so their roots are rational. The sum of rational numbers is a rational number.

`(1)/(√(4))+(1)/(√(9))=(1)/(2)+(1)/(3)=(5)/(6)\quad\text{a rational number}`