Given `sqrt(2)=1.414, sqrt(3)=1.732, sqrt(5)=2.236`, find the value, correct to three decimals of the following `(1-sqrt(3))/(sqrt(5)-sqrt(2))`

Correct Answer - i) `-pi/4`, ii) `(5pi)/6`, iii) `-pi/3`, iv) `(2pi)/3`, v) `-pi/4`, vi) `(2pi)/3`

Correct Answer - 6.748 m

Correct Answer - (i) 9.898 (ii) 17.32 (iii) 18.24 (iv) 6.928

Correct Answer - (i) 1 (ii) 1

Correct Answer - 6.527

Given :  Mass of water = 18 g,  Mass of ethanol = 414 g To find :  Mole fractions of water and ethanol Formulae : Mole fractions of A = \(\frac{n_A}{n_A+n_B}\)  Mole fractions of B = \(\frac{n_B}{n_A+n_B}\)   Calculation : Number of...

Correct option is (A) 3 x 1.732 \(\sqrt{27}=\sqrt{3^3}=\sqrt{3^2\times3}\) \(=\sqrt{3^2}\times3=3\times\sqrt3\) = \(3\times1.732\)

Correct option is (C) \(\sqrt{125}\) Given that \(\sqrt{5}\) = 2.236 Now, 11.18 = 2.236 \(\times\) 5 \(=5\sqrt5=\sqrt{5^2\times5}\) \(=\sqrt{125}\)