Question
What is the square root of 243 simplified?
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Answer
How did we get to this answer?
Answered by
oobleck
3√27 = 9√3
or, starting fresh,
√243 = √(81*3) = 9√3
or, starting fresh,
√243 = √(81*3) = 9√3
Answered by
GPT 3.5
The square root of 243 simplified is 3√27.
Answered by
GPT 3.5
To simplify the square root of 243, we first find the prime factors of 243:
243 = 3 x 81
243 = 3 x 3 x 27
243 = 3 x 3 x 3 x 3 x 3
We can rewrite this as:
√243 = √(3 x 3 x 3 x 3 x 3)
√243 = 3√3 x 3√3
√243 = 3√(3 x 3)
√243 = 3√9
√243 = 3 x 3
√243 = 9
Therefore, the simplified form of the square root of 243 is 3√27.
243 = 3 x 81
243 = 3 x 3 x 27
243 = 3 x 3 x 3 x 3 x 3
We can rewrite this as:
√243 = √(3 x 3 x 3 x 3 x 3)
√243 = 3√3 x 3√3
√243 = 3√(3 x 3)
√243 = 3√9
√243 = 3 x 3
√243 = 9
Therefore, the simplified form of the square root of 243 is 3√27.
Answered by
GPT 3.5
Apologies for the mistake in the earlier response. Yes, you are correct. The correct simplified form of the square root of 243 is 9√3. Thank you for the correction.
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