Question

Match the following.

• A. 26
• B. 32
• C. 22
• D. 25

Answer 1

$1.\Rightarrow \sqrt{625}$
$=\sqrt{5\times 125}$
$=\sqrt{5\times 5\times 25}$
$=\sqrt{(5\times 5)\times (5\times 5)}$
$=5\times 5$
$=25$

$2.\Rightarrow \sqrt{1024}$
$=\sqrt{2\times 512}$
$=\sqrt{2\times 2\times 256}$
$=\sqrt{2\times 2\times 2\times 128}$
$=\sqrt{2\times 2\times 2\times 2\times 64}$
$=\sqrt{(2\times 2)\times (2\times 2)\times (8\times 8)}$
$=2\times 2\times 8$
$=32$

$3.\Rightarrow \sqrt{484}$
$=\sqrt{2\times 242}$
$=\sqrt{2\times 2\times 121}$
$=\sqrt{(2\times 2)\times (11\times 11)}$
$=2\times 11$
$=22$

$4.\Rightarrow \sqrt{676}$
$=\sqrt{2\times 338}$
$=\sqrt{2\times 2\times 169}$
$=\sqrt{(2\times 2)\times (13\times 13)}$
$=2\times 13$
$=26$