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Between which two consecutive integers does $\sqrt{98}$ $sqrt98$ lie?

1 Answer

Mar 28, 2018

$9 < \sqrt{98} < 10$ $9 < sqrt98 < 10$

Explanation:

#sqrt98 is an irrational number because it does not have an exact answer, but is an infinite non-recurring decimal.

Consider the perfect squares closest to $98$ $98$

$6481100121$ $64" "81" "100" "121$
$\times \times \times ↑$ $color(white)(xxxxxx)uarr$
$\times \times \times 98$ $color(white)(xxxxxx)98" "$ is between $81 and 100$ $81 and 100$

$\sqrt{81} \sqrt{98}, \sqrt{100}$ $sqrt81" "sqrt98," "sqrt100$
$9 \sqrt{98} 10$ $" "9" "sqrt98" "10$

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