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determine whether \\(\\sqrt{49}\\) is rational, irrational, or not a re…

Question

determine whether \\(\sqrt{49}\\) is rational, irrational, or not a real number.

is \\(\sqrt{49}\\) rational, irrational, or not a real number?

rational
not a real number
irrational

Explanation:

⚡ Using what you learned: Roots and Radicals

Step 1: Simplify the radical expression

Evaluate the square root of \(49\):

$$ \sqrt{49} = 7 $$

Step 2: Classify the simplified value

Since \(7\) is an integer, it can be written as a fraction of two integers:

$$ 7 = \frac{7}{1} $$

Any number that can be expressed as a ratio of two integers is a rational number.

Answer:

rational