Question

(3+root3)(2+root2)3 + root 3 into 2 + root 2 ​

Answer 1

Answer:

(3+√3)(2+√2)3+√3×2+√2

=(3+√3)(6+3√2)+2√3+√2

{ explanation - (6+3√2=3×2=6 ,+ ,3×√2=3√2}

similarly {2×√3=2√3}

=Now ,we will solve {(3+√3)(6+3√2)}

{(3+√3)(6+3√2)=3(6+3√2)+√3(6+3√2)

=18+9√2+6√3+3√6}

so,(3+√3)(2+√2)3+√3×2+√2

=18+9√2+6√3+3√6+2√3+√2

=18+9√2+√2+6√3+2√3+3√6

[ Here,we can take common

e.g.- 9+√2+√2=√2(9+1)]

=18+√2(9+1)+√3(6+2)+3√6

=18+10√2+8√3+3√6

{ since ,we know the value of √2=1.414

√3=1.732

√6=2.449 }

Thus, =18+10×1.414+8×1.732+3×2.449

=53.343