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Arturiano [62]
3 years ago
7

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

Mathematics
2 answers:
Zinaida [17]3 years ago
5 0

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}.

Fofino [41]3 years ago
4 0
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
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