Problem 121
Question
Explain how to simplify \(\sqrt{10} \cdot \sqrt{5}\).
Step-by-Step Solution
Verified Answer
The simplified version of \( \sqrt{10} \cdot \sqrt{5} \) is \( \sqrt{50} \).
1Step 1: Apply the property of square roots
According to the property of square roots, the expression \( \sqrt{10} \cdot \sqrt{5} \) can be re-written as \( \sqrt{10 \cdot 5} \).
2Step 2: Calculate the product
Now, find the product of 10 and 5, which gives 50. So the expression becomes \( \sqrt{50} \)
3Step 3: Simplifying the square root
The square root of 50 can't be simplified further, so this is the final answer.
Other exercises in this chapter
Problem 119
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Describe what it means to raise a number to a power. In your description, include a discussion of the difference between \(-5^{2}\) and \((-5)^{2}\)
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Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and
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