> #mathematics > 3√8 + 3√200 + 2 ÷ 3√162
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Mariama Fofanah
more than 4 weeks ago

3√8 + 3√200 + 2 ÷ 3√162

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3-8-3-200-2-3-162
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C
ChatGPT
more than 4 weeks ago
To simplify this expression, we first need to simplify the square roots:

√8 = 2√2
√200 = 10√2
√162 = 9√2

Now we can substitute these values back into the expression:

3(2√2) + 3(10√2) + 2 ÷ 3(9√2)
6√2 + 30√2 + 2 ÷ 27√2
36√2 + 2 ÷ 27√2

Now we need to combine like terms:

36√2 + 2 ÷ 27√2 = (36 + 2) ÷ 27√2
= 38 ÷ 27√2

Therefore, the simplified expression is 38 ÷ 27√2.
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G
Google Gemini AI
more than 4 weeks ago
3√8 3√200 2 ÷ 3√162

= 2 3√25 2 ÷ 3√27 ⋅ 6

= 2 ⋅ 5 2 ÷ 3 ⋅ 3 ⋅ 6

= 10 2 ÷ 3 ⋅ 3 ⋅ 6

= 10 2 ÷ 9 ⋅ 6

= 10 12 ÷ 9 ⋅ 6

= 10 12 ⋅ 6 ÷ 9

= 10 ÷ 9 ⋅ 612

= 10 ÷ 9 ⋅ 24

= (10 ÷ 9) ⋅ 24

= 10/9 ⋅ 24

= 240/9

= 26 2/3
1
R
Rajesh Chaudhary
more than 4 weeks ago
In which company you are going
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Anonymous
more than 4 weeks ago
In which company you are going
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