Square Root Product Property - Definition & Examples
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- (Video) Product Property of Square Roots by Learn Math Tutorials Here's a video by Learn Math Tutorials explaining the product property of rational square roots and showing exam…
By Alex Federspiel, Amy Feraco, Sarah Walker, Anusha Rahman
- Example: Product Property \\ Say you're given a square root: You can "split" the square root between each element of the product. Here is an example with a variable: 10x=10×x\sq…
By Christine, Alex Federspiel, Sarah Walker, Caroline K, Anusha Rahman
- So once we have some square root, say x\sqrt{x}x, we want to use this number like we use all other numbers. One thing which we know how to do is just multiplying them! So the n…
By Vatsal Ojha, Victor Wang, Sarah Walker, Alex Federspiel, Anusha Rahman, Caroline K
- Product Property of Square Roots The Product Property of Square Roots states that the square root of a product is equal to the product of the square roots of each of the factors…
By Caroline K, Anusha Rahman
Problems 26
- Simplify 24\sqrt{24}24.
- Simplify 180\sqrt{180}180.
- Simplify 448\sqrt{448}448.
- Convert to a single radical.474\sqrt{7}47
- Convert to a single radical.626\sqrt{2}62
- Convert to a single radical.121012\sqrt{10}1210
- Convert to a single radical.11211\sqrt{2}112
- Simplify 268\sqrt{268}268.
- Simplify 369\sqrt{369}369.
- Simplify 208\sqrt{208}208.
- Simplify 405\sqrt{405}405.
- Simplify 360\sqrt{360}360.
- Simplify 99\sqrt{99}99.
- Convert 3×2\sqrt{3}\times \sqrt{2}3×2 to a single radical.
- Convert 25×42\sqrt{5}\times \sqrt{4}25×4 to a single radical.
- Convert 32×103\sqrt{2}\times \sqrt{10}32×10 to a single radical.
- Convert 2×3+6\sqrt{2}\times \sqrt{3} + \sqrt{6}2×3+6 to a single radical.
- Which of the following are equivalent to 3×12\sqrt{3}\times \sqrt{12}3×12? (Select all that apply.)
- Which of the following are equivalent to 48\sqrt{48}48? (Select all that apply.)
- Which of the following are equivalent to 8×9\sqrt{8}\times\sqrt{9}8×9? (Select all that apply.)
- Simplify the following: 3×48\sqrt{3}\times \sqrt{48}3×48
- 120\sqrt{120}120 is not equivalent to which of the following?
- Solve for xxx: 13×5×x=260\sqrt{13} \times \sqrt{5} \times \sqrt{x} = \sqrt{260}13×5×x=260
- What is 2×12×3\sqrt{2}\times \sqrt{12} \times \sqrt{3}2×12×3 not equivalent to?
- What of the following is 46\sqrt{46}46 equivalent to?
- Simplify the following: 3×4+2×6\sqrt{3}\times \sqrt{4} +\sqrt{2}\times\sqrt{6}3×4+2×6