Question
Perform the indicated operations.$$3 x \sqrt{8 x y^{2}}-5 y \sqrt{32 x^{3}}+\sqrt{18 x^{3} y^{2}}$$
Step 1
For the first term, we can pull out a 4 from under the square root, which gives us $2x$ when square rooted. So, the first term becomes $3x \cdot 2x = 6x^2$. $$3 x \sqrt{8 x y^{2}} = 6x^2y\sqrt{2x}$$ Show more…
Show all steps
Your feedback will help us improve your experience
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
Perform the indicated operations. $$5 \sqrt{8 x^{2} y^{3}}-\frac{9 x^{2} \sqrt{64 y}}{3 x \sqrt{2 y^{-2}}}$$
Radicals, Radical Functions, and Rational Exponents
Adding, Subtracting, and Dividing Radical Expressions
Perform the indicated operations. $$\frac{16 x^{4} \sqrt{48 x^{3} y^{2}}}{8 x^{3} \sqrt[3]{3 x^{2} y}}-\frac{20 \sqrt[3]{2 x^{3} y}}{4 \sqrt[3]{x^{-1}}}$$
Perform the indicated operations. $$6 x \sqrt{3 x y^{2}}-4 x^{2} \sqrt{27 x y}-5 \sqrt{75 x^{5} y}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD