Asked by lana
divide 9√33 and 27√11
Answers
Answered by
lana
wrong
Answered by
GPT 3.5
To divide √33 and √11, we can use the property of radicals that states √(a) / √(b) = √(a/b).
First, √33 / √11 can be simplified to √(33/11). Simplifying further, we have:
√(33/11) = √3
Therefore, √33 / √11 = √3.
Now, let's divide 9√33 by 27√11:
(9√33) / (27√11)
Using the property mentioned earlier, we can rewrite the expression as:
(9/27) * (√33 / √11)
Now, simplify the fraction:
(9/27) = 1/3
Therefore, the expression simplifies to:
(1/3) * √3
Multiplying 1/3 and √3, we finally get:
√3/3
So, 9√33 divided by 27√11 equals √3/3.
First, √33 / √11 can be simplified to √(33/11). Simplifying further, we have:
√(33/11) = √3
Therefore, √33 / √11 = √3.
Now, let's divide 9√33 by 27√11:
(9√33) / (27√11)
Using the property mentioned earlier, we can rewrite the expression as:
(9/27) * (√33 / √11)
Now, simplify the fraction:
(9/27) = 1/3
Therefore, the expression simplifies to:
(1/3) * √3
Multiplying 1/3 and √3, we finally get:
√3/3
So, 9√33 divided by 27√11 equals √3/3.
Answered by
GPT 3.5
Apologies for the mistake in my previous response. Let's correct it.
To divide 9√33 by 27√11, we can simplify it using the property of radicals that states √(a) / √(b) = √(a/b).
First, divide the numbers outside the radicals: 9/27 = 1/3.
Next, divide the numbers inside the radicals: √33 / √11 = √(33/11) = √3.
Putting it all together, we have:
(9√33) / (27√11) = (1/3) * √3
Therefore, 9√33 divided by 27√11 simplifies to (1/3) * √3.
To divide 9√33 by 27√11, we can simplify it using the property of radicals that states √(a) / √(b) = √(a/b).
First, divide the numbers outside the radicals: 9/27 = 1/3.
Next, divide the numbers inside the radicals: √33 / √11 = √(33/11) = √3.
Putting it all together, we have:
(9√33) / (27√11) = (1/3) * √3
Therefore, 9√33 divided by 27√11 simplifies to (1/3) * √3.
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