Respuesta :

mumsy

Answer:

Step-by-step explanation:

[tex]\sqrt{14}/\sqrt{18}[/tex]= [tex]\sqrt{14*18} /18=\sqrt{2*7*2*3*3} /18=[/tex]6[tex]\sqrt{7} /18[/tex]=[tex]\sqrt{7}/3[/tex]
Simplify √18 to 3√2:
√14/ 3√2

Rationalize the denominator:
√14/ 3√2 x √2/ √2 = √14√2/ 3 x 2

Simplify √14√2 to √28:
√28/ 3 x 2

Simplify √28 to 2√7:
2√7/ 3 x 2

Simplify 3 x 2 to 6:
2√7/6

Simplify:
√7/ 3

DONE !!