Answer:
= -5√7 -(√2)
Step-by-step explanation:
3√7- √7 -2√7+√8 -5√7-3√2
=3√7- √7 -2√7 -5√7+√8 -3√2 (first we place similar radicands together)
=-5√7+√8 -3√2 ( solve the similar radicands)
=-5√7+√2³ -3 (2^1/2) ( break 8 into powers of 2)
=-5√7+ (2)^3/2 -3 (2^1/2) (solve 2 power with the radical sign)
= -5√7+(2^1/2){ 2-3} ( taking2^1/2 as common)
= -5√7+(2^1/2){ -1} ( solving the co - efficients of 2^1/2)
= -5√7 -1 (2^1/2)
= -5√7 -(√2) {answer}
