Question

Упростите выражение √242х + √162х - √32х

Answer 1

$sqrt{242} x+ sqrt{162}x- sqrt{32}x= \ \ sqrt{121*2}x+ sqrt{81*2}x- sqrt{16*2}x= \ \ = sqrt{121} sqrt{2} x+ sqrt{81} sqrt{2} x- sqrt{16} sqrt{2} x= \ \ =11 sqrt{2}x+9 sqrt{2}x-4 sqrt{2}x= \ \ =(11+9-4) sqrt{2}x=16 sqrt{2}x$