Question

Simplify 4√4 - 4√8+ √98

Answer 1

Answer:

8 - $\sqrt{2}$

Or the decimal version 6.58578643

Step-by-step explanation:

Answer 2

$\bf 4\sqrt{4}-4\sqrt{8}+\sqrt{98}~~\begin{cases}4=2\cdot 2\\\qquad 2^2\\8=2\cdot 2\cdot 2\\\qquad 2^2\cdot 2\\98=2\cdot 7\cdot 7\\\qquad 2\cdot 7^2\end{cases}\implies 4\sqrt{2^2}-4\sqrt{2^2\cdot 2}+\sqrt{2\cdot 7^2}\\\\\\(4\cdot 2)-(4\cdot 2)\sqrt{2}+7\sqrt{2}\implies 8\stackrel{like-terms}{-8\sqrt{2}+7\sqrt{2}}\implies 8-\sqrt{2}$