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! \(\displaystyle \text{Simplify: }\:\dfrac{2\sqrt{5}}{\sqrt{30}}\) Click to expand... Rationalize: .\(\displaystyle \dfrac{2\sqrt{5}}{\sqrt{30}}\cdot\dfrac{\sqrt{30}}{\sqrt{30}} \;=\;\dfrac{2\sqrt{150}}{30} \;=\;\dfrac{2\sqrt{25\cdot6}}{30}\) . . . . . . . \(\displaystyle =\;\dfrac{2\cdot\sqrt{25}\cdot\sqrt{6}}{30} \;=\;\dfrac{2\cdot5\cdot\sqrt{6}}{30} \;=\;\dfrac{\sqrt{6}}{3}\)
Hello, cecil! \(\displaystyle \text{Simplify: }\:\dfrac{2\sqrt{5}}{\sqrt{30}}\) Click to expand... Rationalize: .\(\displaystyle \dfrac{2\sqrt{5}}{\sqrt{30}}\cdot\dfrac{\sqrt{30}}{\sqrt{30}} \;=\;\dfrac{2\sqrt{150}}{30} \;=\;\dfrac{2\sqrt{25\cdot6}}{30}\) . . . . . . . \(\displaystyle =\;\dfrac{2\cdot\sqrt{25}\cdot\sqrt{6}}{30} \;=\;\dfrac{2\cdot5\cdot\sqrt{6}}{30} \;=\;\dfrac{\sqrt{6}}{3}\)
