Question

Calculati.
a) 2√3/3-5/√3
b)1/3√2+5√2/6
/-inseamna supra

Answer 1

a)  √3×2√3 supra 3√3 - 15/3√3=  ( am rationalizat astfel incat sa ajung la acelasi numitor comun )
2×3-15/3√3= -9/3√3=3/√3

b)1/3√2+5√2/6=2/6√2+5×2supra 6√2=2+10/6√2= 2/√2

Answer 2

$\displaystyle a). \frac{2 \sqrt{3} }{3} - \frac{5}{ \sqrt{3} } = \frac{2 \sqrt{3} }{3} - \frac{5 \sqrt{3} }{3} =- \frac{\not3 \sqrt{3} }{\not3} =- \sqrt{3} \\ \\ b). \frac{1}{3 \sqrt{2} } + \frac{5 \sqrt{2} }{6} = \frac{3 \sqrt{2} }{18} + \frac{5 \sqrt{2} }{6} = \frac{3 \sqrt{2} }{18 }+ \frac{15 \sqrt{2} }{18} = \frac{18 \sqrt{2} }{18}= \sqrt{2}$