Question

If 2root=1.414,3root,then find the value of 4÷3root-2root+3÷3root+2root​

Answer 1

Hello!

Here is your answer

Given √2 = 1.414

√3 = 1 732

(4/(√3-√2))+(3/(√3+√2))

Rationalize the denominator

(4)/(√3-√2) * (√3+√2 )/(√3+√2)= 4(√3+√2)/3-2 = 4(√3+√2) = 4√3+4√2

(3)/(√3+√2)*(√3-√2)/(√3-√2) = 3(√3-√2)/3-2 = 3(√3-√2)= 3√3-3√2

= adding both gives

4√3+4√2+3√3-3√2 = 7√3 + √2

= 12.024 + 1.414 = 13.438