Multiple Choice
Use the quotient rule to simplify.
9. Roots, Radicals, and Complex Numbers
Simplifying Radical Expressions
Multiple Choice
Simplify the following.
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Verified step by step guidance1
Identify the expression inside the square root: \(\sqrt{49m^2}\).
Recall that the square root of a product can be written as the product of the square roots: \(\sqrt{49m^2} = \sqrt{49} \times \sqrt{m^2}\).
Simplify each square root separately: \(\sqrt{49}\) is the number which when squared gives 49, and \(\sqrt{m^2}\) is the variable \(m\) (assuming \(m\) is non-negative).
Combine the simplified parts: multiply the simplified square roots together to get the simplified expression.
Write the final simplified expression as the product of the simplified terms.
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