Question

Match the following square roots with the intervals within which they lie.

• A. Between 9 & 10
• B. Between 14 &15
• C. Between 10 & 11
• D. Between 7 & 8

Answer 1

Since,
$7^2$ = 49,
$8^2$ = 64,
$9^2$ = 81,
${10}^2$ = 100,
${11}^2$ = 121,
${14}^2$ = 196,
${15}^2$ = 225.
Hence, $\sqrt{86}$ lies between 9 and 10,
$\sqrt{115}$ lies between 10 and 11,
$\sqrt{220}$ lies between 14 and 15,
$\sqrt{59}$ lies between 7 and 8.