Question

If root2 =1.414 then find 3root32 - 2root50 + 4root128 -5root98

Answer 1

3√32 - 2√50 + 4√128 -5√98

= 3√(2×16) - 2√(2×25) + 4√(2×64) - 5√(2×49)

= 12√2 - 10√2 + 32√2 - 35√2

= √2 (12 - 10 + 32 - 35)

= √2 (42 - 45)

= √2 (-3)

put the value √2 = 1.414

= 1.414 × (-3)

= (- 4.242). (ans.)