Which sign makes the statement true?

Question

10 3 ? (the square root sign)6
< or >

Answer 1

To determine which sign makes the statement true, let's evaluate the expression given:

We have \(10 , 3 ? \sqrt{6}\).

It's a bit unclear whether the \(3\) is being used to indicate multiplication, or if there's a misinterpretation in how the expression is written. I'll assume the intention is to evaluate \(10 \div 3\) compared to \(\sqrt{6}\).

1. First, calculate \(10 \div 3\): \[ 10 \div 3 \approx 3.33 \]

2. Next, calculate \(\sqrt{6}\): \[ \sqrt{6} \approx 2.45 \]

Now, we compare \(3.33\) to \(2.45\): \[ 3.33 > 2.45 \]

Thus, the correct relationship is: \[ 10 \div 3 > \sqrt{6} \]

Therefore, the sign that makes the statement true is \(>\).