Question

can any solve these step by step plz
1/8√50+1/6√75-1/8√18-1/3√3

Answer 1

√50 = √(2×5×5) = 5√2
√75 =√(3×5×5) =5√3
√18 =√3×3×2 = 3√2

now ,
1/8√50 + 1/6√75 -1/8√18 - 1/3√3

=1/8(5√2) + 1/6(5√3) -1/8(3√2) -1/3√3

=1/40√2 + 1/30√3 -1/24√2 -1/3√3

now , take rationalisation all of real numbers of here

=√2/40(√2×√2) + √3/30(√3×√3) -√2/24(√2×√2) -√3/3(√3×√3)

=√2/80 + √3/90 - √2/48 -√3/9

=(√2/80 -√2/48) + ( √3/90-√3/9)

=√2(3-5)/240 + √3(1-10)/90

=-2√2/240 -9√3/90

=√2/120 -√3/10

= -( √2 +12√3)/120