Question

Given the two expressions shown below:

square root of 4 plus square root of 25
square root of 4 plus square root of 9

Which statement best describes the two expressions?
Both are rational.

Both are irrational.

A is rational, but B is irrational.

A is irrational, but B is rational.

Answer 1

√4 + √25 = 2 + 5 = 7
√4 + √9 = 2 + 3 = 5
Answer: A ) Both are rational.

Answer 2

Answer: First Option is correct.

Explanation:

Since we have given that

1) Square root of 4 plus square root of 25

`√(4)+√(25)=2+5=7`

2) Square root of 4 plus square root of 9

`√(4)+√(9)=2+3=5`

As we know that 7 and 5 are rational numbers as it can be written in the form of
`(p)/(q)`

Therefore, both are rational numbers.

Hence, First Option is correct.