Square Root Quotient Property - Definition & Examples
Read this topicExplanations 4
- Example walk through \\ Take a look at the square root below: The number in the square root seems difficult to simplify. Let's try applying the quotient rule. I like to think ab…
By Christine, Alex Federspiel, Amy Feraco, Anusha Rahman
- Comparison: Quotient Property & Raising Fractions to a Power\\ Remember how we raise a fraction to a power? The quotient property is essentially the same as that. Recall that ta…
By Christine, Alex Federspiel, Sarah Walker, Caroline K, Anusha Rahman
- (Video) Quotient Rule and Simplifying Square Roots by LarryHCC Here's a video by LarryHCC showing you the quotient property for rational square roots and solving some problems. …
By Amy Feraco, Alex Federspiel, Sarah Walker
- Quotient Property of Square Roots The Quotient Property of Square Roots states that the square root of a quotient is equal to the quotient of the square roots of the dividend an…
By Caroline K, Jonathan Heller, Anusha Rahman
Problems 20
- Simplify 502.\frac{\sqrt{50}}{\sqrt{2}}.250.
- Simplify 14416.\sqrt{\frac{144}{16}}.16144.
- Simplify 981.\sqrt{\frac{9}{81}}.819.
- Simplify 49010.\frac{\sqrt{490}}{\sqrt{10}}.10490.
- Simplify 15375.\frac{\sqrt{15}}{\sqrt{375}}.37515.
- Simplify 256400.\sqrt{\frac{256}{400}}.400256.
- Simplify 32436.\sqrt{\frac{324}{36}}.36324.
- Simplify the following expression, if aaa is positive: a24\sqrt{\frac{a^2}{4}}4a2
- Simplify the following expression, if x>0x>0x>0: 64x2\sqrt{\frac{64}{x^2}}x264
- Simplify the following expression, if a,b>0a,b>0a,b>0: 100a2b2\sqrt{\frac{100a^2}{b^2}}b2100a2
- Simplify the following expression, if a>0a>0a>0: a16\sqrt{\frac{a}{16}}16a
- Simplify the following expression, if x,y>0x,y>0x,y>0: 4x9y2\sqrt{\frac{4x}{9y^2}}9y24x
- Convert the following expression into a single radical, if a≥0a\geq0a≥0: a2\frac{\sqrt{a}}{2}2a
- Convert the following expression into a single radical: 36\frac{\sqrt{3}}{6}63
- What is the value of the following expression: 22\frac{2}{\sqrt{2}}22
- What is the value of the following expression: 33\frac{3}{\sqrt{3}}33
- What is the value of the following expression: 722\frac{\sqrt{72}}{\sqrt{2}}272
- What is the value of the following expression? 805\frac{\sqrt{80}}{\sqrt{5}}580
- Simplify the following expression, if a,b,ca,b,ca,b,c are all positive: 16a2b425c2\sqrt{\frac{16a^2b^4}{25c^2}}25c216a2b4
- Simplify the following expression, if a,b,c>0a,b,c>0a,b,c>0: 9a6b416c4\sqrt{\frac{9a^6b^4}{16c^4}}16c49a6b4