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olchik [2.2K]
3 years ago
5

Enter the correct answer in the box. What is this expression in simplified form? 3\sqrt{88}

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Answer: 12\sqrt{5}

Step-by-step explanation:

3\sqrt{88}

88 can be rewritten as 8 x 10 and 8 can be rewritten as 2^2*2 making a 2 come out of the root.

3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}

10 can be rewritten as 2 x 5.

6\sqrt{2*2*5}

2*2 can also be rewritten as 2^2 making a 2 come out of the root.

6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}

We can't keep simplifying the root.

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