Using rational approximations, what is an inequality statement comparing √91

Question

and √98 ? Enter <, >, or =.(1 point)
The inequality is: √91___√98

Answer 1

To compare \( \sqrt{91} \) and \( \sqrt{98} \), we can square both sides since the square root function is increasing for non-negative numbers.

1. Calculate \( 91 \) and \( 98 \): \[ 91 < 98 \]

2. By squaring both sides, we conclude: \[ \sqrt{91} < \sqrt{98} \]

Therefore, the inequality statement is: \[ \sqrt{91} < \sqrt{98} \]