Question

7(square root 14) divided by (square root 7)

Answer 1

The question given above will require a good understanding of surd operation in order to arrive at the best answer

$\frac{7\sqrt{14} }{\sqrt{7}} = 7\sqrt{2}$

To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:

$\frac{7\sqrt{14}}{\sqrt{7}}\\\\Rationalise\\\\\frac{7\sqrt{14}}{\sqrt{7}} * \frac{\sqrt{7} }{\sqrt{7}}\\\\\frac{7\sqrt{14*7}}{\sqrt{7*7}}\\\\\frac{7\sqrt{98}}{\sqrt{49}}\\\\\frac{7\sqrt{98}}{7}\\\\\sqrt{98}\\\\\sqrt{98} = \sqrt{49*2} \\\sqrt{98} = \sqrt{49} * \sqrt{2} \\\sqrt{98} = 7\sqrt{2} \\\\Thus, \\\\\frac{7\sqrt{14}}{\sqrt{7}} = 7\sqrt{2}$

Therefore, from the calculations made above, the solution to the question is  7√2

Learn more: brainly.com/question/11225829