(2sqrt(12) * 3 * sqrt(5))/(sqrt(30) * sqrt(46)) What Is the estimated value of v30 36 A. 0.71 B. 1.41 2 C. D. 2.45
we have
[tex]\frac{2\sqrt{12}\cdot3\cdot\sqrt[]{5}}{\sqrt{30}\cdot\sqrt[]{46}}[/tex]step 1
Simplify
we know that
[tex]2\sqrt[]{12}=2\sqrt[]{2^2\cdot3}=4\sqrt[]{3}[/tex][tex]\sqrt[]{30}\cdot\text{ }\sqrt[]{46}=\sqrt[]{1380}=2\sqrt[]{3\cdot5\cdot23}[/tex]substitute in the original expression
[tex]\frac{4\sqrt[]{3}\cdot3\cdot\sqrt[]{5}}{2\sqrt[]{3\cdot5\cdot23}}=\frac{6}{\sqrt[]{23}}[/tex]=