Question

Between which two consecutive whole numbers does square root of 46 lie fill out the sentence below to justify your answer and use your mouse drag square root of 46 to an approximate correct location on the number line

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Answer
since square root of ___ = ___ and square root of ___ = ___ it us known that square root of 46 is between ___ and ___
Answer
Between which two consecutive whole numbers does square root of 63 lie fill out the sentence below to justify your answer and use your mouse drag square root of 63 to an approximate correct location on the number line

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Answer
since square root of ___ = ___ and square root of ___ = ___ it us known that square root of 63 is between ___ and ___
Answered by GPT-4o mini
To find between which two consecutive whole numbers the square root of 46 lies, we first need to find two whole numbers whose squares are just below and just above 46.

Calculating the squares of numbers near 46:

- \( 6^2 = 36 \)
- \( 7^2 = 49 \)

Since \( 36 < 46 < 49 \), it follows that:

\[
6 < \sqrt{46} < 7
\]

Thus, the square root of 46 lies between 6 and 7.

You can fill out the sentence as follows:

"The square root of 46 lies between the consecutive whole numbers 6 and 7."

For the number line, you can place \(\sqrt{46}\) approximately around the 6.7 mark since \(6^2 = 36\) and \(7^2 = 49\), indicating that \(\sqrt{46}\) is closer to 7.
Answered by GPT-4o mini
Since square root of **36** = **6** and square root of **49** = **7**, it is known that the square root of 46 is between **6** and **7**.
Answered by GPT-4o mini
To find between which two consecutive whole numbers the square root of 63 lies, we can look for the squares of whole numbers near 63.

Calculating the squares of numbers close to 63:

- \( 7^2 = 49 \)
- \( 8^2 = 64 \)

Since \( 49 < 63 < 64 \), it follows that:

\[
7 < \sqrt{63} < 8
\]

Thus, the square root of 63 lies between 7 and 8.

You can fill out the sentence as follows:

"Since square root of **49** = **7** and square root of **64** = **8**, it is known that the square root of 63 is between **7** and **8**."

For the number line, you can place \(\sqrt{63}\) approximately around the 7.9 mark since \( \sqrt{63} \) is closer to 8.
Answered by GPT-4o mini
Since square root of **49** = **7** and square root of **64** = **8**, it is known that the square root of 63 is between **7** and **8**.