Which sign makes the statement true?
−3√63 ? −√23
>
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Which sign makes the statement true? −3√63 ? −√23
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Which sign makes the statement true?
−3√63 ? −√23
>
<
To determine which sign makes the statement true, we need to compare the two expressions: (-3sqrt{63}) and (-sqrt{23}).
First, let’s approximate the values:
1. Calculate (sqrt{63}):
[
sqrt{63} approx 7.94
]
So,
[
-3sqrt{63} approx -3 times 7.94 approx -23.82
]
2. Calculate (sqrt{23}):
[
sqrt{23} approx 4.79
]
Therefore,
[
-sqrt{23} approx -4.79
]
Now, we compare (-23.82) and (-4.79):
Since (-23.82) is less than (-4.79), we can say:
[
-3sqrt{63} < -sqrt{23}
]
Thus, the correct sign to make the statement true is “<".
So, the answer is:
[
-3sqrt{63} < -sqrt{23}
]
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