S i m p l i f y colon
square root of 2 a to the power of 2 to the power of blank end exponent plus 2 square root of 6 space end root a b plus 3 b to the power of 2. end exponent end root

Asked by kishor.kp14 | 19th Jun, 2019, 09:52: AM

Expert Answer:

begin mathsize 16px style square root of 2 straight a squared space plus space 2 square root of 6 ab space plus space 3 straight b squared end root
equals square root of open parentheses square root of 2 straight a close parentheses squared space plus space 2 square root of 2 square root of 3 straight a space straight b space plus open parentheses square root of 3 straight b close parentheses squared space end root
equals square root of open parentheses square root of 2 straight a close parentheses squared space plus space 2 open parentheses square root of 2 straight a close parentheses open parentheses square root of 3 straight b close parentheses plus open parentheses square root of 3 straight b close parentheses squared space end root
equals square root of open parentheses square root of 2 straight a space plus square root of 3 straight b space close parentheses squared space space end root space space... space since space left parenthesis straight a space plus straight b right parenthesis squared space equals space straight a squared space plus space 2 ab space plus space straight b squared
equals square root of 2 straight a space plus square root of 3 straight b space space end style

Answered by Yasmeen Khan | 19th Jun, 2019, 11:20: AM