Question

given the following expressions1. -5/8+3/52. 1/2+ √23. (√5)×(√5)4. 3×(√49)which expression(s) will result in an irrational number.(1) only 2(2) only 3(3) 1,3,4(4) 2,3,4

Answer 1

1) Only 2

1) Examining the expressions we have

1. -5/8+3/5 =-1/40 Rational Expression

2. 1/2+ √2 Irrational Expression

3.(√5)×(√5)= 5 Rational Expression

4. 3×(√49) = 21 Rational Expression

2) Since √2 is an irrational number √2 = 1.4142.... non-periodic and infinite number, and number added to it will yield an irrational number.

3) So the answer is 1) Only 2