Question

rationalize the denominator and simplify root 48 + root 32 by root 27 - root 18 ​

Answer 1

Answer:

(28+8root6)/3

Step-by-step explanation:

(root48+root32)/(root27-root18)

.:root48=root(16×3)=4root3

.:root32=root(16×2)=4root2

so root48+root32= 4root3+4root2

or 4(root3+root2)

.:root 27=root(9×3)=3root3

.:root 18=root(9×2)=3root2

so root27-root18=3root3-3root2

or 3(root3-root2)

Now 4(root3+root2)/3(root3-root2),after rationalizing:

4(root3+root2)²/3

4(3+2+2root6)/3

4(7+2root6)/3

(28+8root6)/3 <answer