Question

A Rationalise the denaminator and hence evaluate by taking √2= 1 . 414 and √3 = 1 . 732 , upto 3 decimal Places. √6/3√2–2√3

Answer 1

Answer:

18.87

Solution:

We need to find the value of √6/(3√2 - 2√3)

Thus,

√6(3√2 - 2√3)

= √6×(3√2 + 2√3) / (3√2 - 2√3)×(3√2 + 2√3)

= √6×(3√2 + 2√3) / [ (3√2)² - (2√3)² ]

= √6×(3√2 + 2√3) / ( 18 - 12)

= √6×(3√2 + 2√3) / 6

= √2×√3×(3√2 + 2√3) / 6

= 1.414 × 1.732 × ( 3×1.414 + 2×1.732 )

= 2.449 × (4.242 + 3.464)

= 2.449 × 7.706

= 18.87

Hence,

Required value of the expression is 18.87