Question

Simplify the following expressions: Write irrational number to its simplest form. √72+√800−√18

Answer 1

Answer:23√2

Step-by-step explanation:

√72+√800-√18

√2*36+√2*400-√2*9

6√2+20√2-3√2

√2(6+20-3)

√2(26-3)

√2*23

23*1.414

32.522 or 23√2

Answer 2

Answer: $23\sqrt{2}$

Step-by-step explanation:

√72+√800−√18

$= \sqrt{9*4*2} + \sqrt{100*4*2} -\sqrt{9*2}\\\\= 3*2*\sqrt{2} +10*2*\sqrt{2} -3*\sqrt{2} \\\\= 6\sqrt{2} +20\sqrt{2} -3\sqrt{2} \\\\= 23\sqrt{2}$