QuestionAugust 26, 2025

Which number is irrational? A. sqrt (4) B. sqrt (35) c sqrt (49) D. sqrt (64)

Which number is irrational? A. sqrt (4) B. sqrt (35) c sqrt (49) D. sqrt (64)
Which number is irrational?
A. sqrt (4)
B. sqrt (35)
c sqrt (49)
D. sqrt (64)

Solution
4.5(82 votes)

Answer

B. \sqrt{35} Explanation 1. Identify Perfect Squares Check if the numbers under the square roots are perfect squares. \sqrt{4} = 2, \sqrt{49} = 7, and \sqrt{64} = 8 are all integers. 2. Determine Irrationality \sqrt{35} is not a perfect square, so it cannot be expressed as an integer or a simple fraction.

Explanation

1. Identify Perfect Squares<br /> Check if the numbers under the square roots are perfect squares. $\sqrt{4} = 2$, $\sqrt{49} = 7$, and $\sqrt{64} = 8$ are all integers.<br />2. Determine Irrationality<br /> $\sqrt{35}$ is not a perfect square, so it cannot be expressed as an integer or a simple fraction.
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