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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.

Verified Answer :

HomertheGenius

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

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

1) Square root of 4 plus square root of 25

\(\sqrt{4}+\sqrt{25}=2+5=7\)

2) Square root of 4 plus square root of 9

\(\sqrt{4}+\sqrt{9}=2+3=5\)

As we know that 7 and 5 are rational numbers as it can be written in the form of \(\frac{p}{q}\)

Therefore, both are rational numbers.

Hence, First Option is correct.

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