Question
Classify each of the following statements as either true or false.For any real numbers $\sqrt[n]{a}$ and $\sqrt[n]{b}$ $\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{a b}$.
Step 1
Step 1: We are given two real numbers $\sqrt[n]{a}$ and $\sqrt[n]{b}$ and we need to prove that $\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{a b}$. Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 65 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Classify each of the following statements as either true or false. For any real numbers $\sqrt[n]{a}$ and $\sqrt[n]{b}$ $\sqrt[n]{a}+\sqrt[n]{b}=\sqrt[n]{a+b}$.
Exponents and Radicals
Multiplying Radical Expressions
Determine whether each statement is true or false. $$ \sqrt{a^{2}+b^{2}}=\sqrt{a}+\sqrt{b} $$
Prerequisites and Review
RATIONAL EXPONENTS AND RADICALS
Classify each of the following statements as either true or false. $$\sqrt{x}-8=7 \text { is equivalent to } \sqrt{x}=15$$
Exponents and Radical Functions
Solving Radical Equations
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD