Question

What is the following difference? 11 square root 45 - 4 square root 5

Answer 1

Answer:

$29\sqrt{5}.$

Step-by-step explanation:

The difference is

$11\sqrt{45}-4\sqrt{5}$

To simplify let's try to covert $\sqrt{45}$ in terms of $\sqrt{5}$:

45 = 9*5, then $\sqrt{45} = \sqrt{9*5} = \sqrt{9}\sqrt{5} = 3\sqrt{5}$. So,

$11\sqrt{45}-4\sqrt{5} = 11(3\sqrt{5})-4\sqrt{5} = 33\sqrt{5} -4\sqrt{5} = 29\sqrt{5}.$

Answer 2

11√45 - 4√5

= 11√(9 * 5) - 4√5

= (11 · √9 · √5) - 4√5

= (11 · 3 · √5) - 4√5

= (11 * 3)√5 - 4√5

= 33√5 - 4√5

= (33-4)√5

= 29√5