Question

5] ) Simplify. 2√1162 +7√32 – √1250 (Fill in the boxes with proper numbers) Solution:-​

Answer 1

Given,

$2\sqrt{1162} +7\sqrt{32} -\sqrt{1250}$

To solve this we have to find the square root of that numbers,

$=2\sqrt{1162} +7\sqrt{16\times 2 } -\sqrt{25\times 25\times 2}$

$=2\sqrt{1162} + 7\times 4\sqrt{2} -25\sqrt{2}$

$=2\sqrt{1162} +28\sqrt{2} -25\sqrt{2}$

$=2\sqrt{1162} +\sqrt{2} (28-25)$

$=2\sqrt{1162} +3\sqrt{2}$

$=68.1762+4.242$

$=72.412$

Therefore, the final answer is $72.412$

Answer 2

Answer:

$72.412$

Step-by-step explanation:

Given expression:

$2\sqrt{1162} +7\sqrt{32}-\sqrt{1250}$

$=2\sqrt{1162} +7\sqrt{16\times2}-\sqrt{625\times2}$

$=2\sqrt{1162} +7\times4\sqrt{2}-25\sqrt{2}$

$=2\sqrt{1162} +28\sqrt{2}-25\sqrt{2}$

$=2\sqrt{1162} +3\sqrt{2}$

$=68.1762+4.242$

$=72.412$

Hence, the final answer is $72.412$.