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Given the two expressions shown below:

Asquare root of 64 plus square root of 5
Bsquare root of 64 plus square root of 4

Which statement best describes the two expressions?

ABoth are rational.
BBoth are irrational.
CA is rational, but B is irrational.
DA is irrational, but B is rational.

Verified Answer :

Hagrid

The statement that best describes the two expressions is
D. A is irrational, but B is rational

square root of 64 plus square root of 5 is 8 plus square root of 5, the square root of 5 is an irrational number which makes the entire expression an irrational number

square root of 64 plus square root of 4 is 8 plus 2 which is equal to 10 and is a rational number

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