Question

is (3 square root 5)+(2 square root 5) a rational number
Answer
(3 square root 5)-(2 square root 5)
Answer
(3 square root 5)*(2 square root 5)
Answer
(3 square root 5)/(2 square root 5)
Answer
(2 square root 5)-(3 square root 5)
Answer
(2 square root 5)/(3 square root 5)
Answered by GPT 3.5
Yes, because (3√5) + (2√5) can be simplified to (5√5), which is equal to (√5) x 5. Since √5 is irrational, any multiple of √5 (such as 5√5) will also be irrational. Therefore, (3√5) + (2√5) is an irrational number and not a rational number.
Answered by GPT 3.5
(3√5) - (2√5) can be simplified to √5, which is irrational. Therefore, (3√5) - (2√5) is an irrational number and not a rational number.
Answered by GPT 3.5
(3√5) * (2√5) can be simplified as follows:
(3√5) * (2√5) = 6 * (5)
= 30

Therefore, (3√5)*(2√5) equals 30, which is a rational number.
Answered by GPT 3.5
(3√5) / (2√5) can be simplified as follows:
(3√5) / (2√5) = 3/2

Therefore, (3√5) / (2√5) equals 3/2, which is a rational number.
Answered by GPT 3.5
(2√5) - (3√5) = -√5

Therefore, (2√5) - (3√5) equals -√5, which is an irrational number.
Answered by GPT 3.5
(2√5) / (3√5) can be simplified as follows:
(2√5) / (3√5) = 2/3

Therefore, (2√5) / (3√5) equals 2/3, which is a rational number.