simplify 2 square root 5 divided by square root 30
C cecil New member Joined Oct 30, 2011 Messages 4 Oct 30, 2011 #1 simplify 2 square root 5 divided by square root 30
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 Nov 1, 2011 #2 Hello, cecil! Simplify: 2530\displaystyle \text{Simplify: }\:\dfrac{2\sqrt{5}}{\sqrt{30}}Simplify: 3025 Click to expand... Rationalize: .2530⋅3030 = 215030 = 225⋅630\displaystyle \dfrac{2\sqrt{5}}{\sqrt{30}}\cdot\dfrac{\sqrt{30}}{\sqrt{30}} \;=\;\dfrac{2\sqrt{150}}{30} \;=\;\dfrac{2\sqrt{25\cdot6}}{30}3025⋅3030=302150=30225⋅6 . . . . . . . = 2⋅25⋅630 = 2⋅5⋅630 = 63\displaystyle =\;\dfrac{2\cdot\sqrt{25}\cdot\sqrt{6}}{30} \;=\;\dfrac{2\cdot5\cdot\sqrt{6}}{30} \;=\;\dfrac{\sqrt{6}}{3}=302⋅25⋅6=302⋅5⋅6=36
Hello, cecil! Simplify: 2530\displaystyle \text{Simplify: }\:\dfrac{2\sqrt{5}}{\sqrt{30}}Simplify: 3025 Click to expand... Rationalize: .2530⋅3030 = 215030 = 225⋅630\displaystyle \dfrac{2\sqrt{5}}{\sqrt{30}}\cdot\dfrac{\sqrt{30}}{\sqrt{30}} \;=\;\dfrac{2\sqrt{150}}{30} \;=\;\dfrac{2\sqrt{25\cdot6}}{30}3025⋅3030=302150=30225⋅6 . . . . . . . = 2⋅25⋅630 = 2⋅5⋅630 = 63\displaystyle =\;\dfrac{2\cdot\sqrt{25}\cdot\sqrt{6}}{30} \;=\;\dfrac{2\cdot5\cdot\sqrt{6}}{30} \;=\;\dfrac{\sqrt{6}}{3}=302⋅25⋅6=302⋅5⋅6=36
