Question

2 Raționalizați numitorul următoarelor fractii:
A)16/4√3=
B)28/√14=
C)-21/3√7=
D)√2/√3=
E)√6/3√2=
F)5√3/4√5=

Answer 1

Explicație pas cu pas:

a)

$\frac{16^{(4} }{4 \sqrt{3} } = \frac{^{ \sqrt{3} )}4}{ \sqrt{3} } = \frac{4 \sqrt{3} }{3}$

b)

$\frac{^{ \sqrt{14} )}28}{\sqrt{14} } = \frac{28 \sqrt{14}^{(14} }{14} = 2 \sqrt{14}$

c)

$\frac{ - 21^{(3} }{3 \sqrt{7} } = - \frac{^{ \sqrt{7} )}7}{ \sqrt{7} } = - \frac{7 \sqrt{7}^{(7} }{7} = - \sqrt{7}$

d)

$\frac{ ^{ \sqrt{3} )} \sqrt{2} }{ \sqrt{3} } = \frac{ \sqrt{6} }{3}$

e)

$\frac{ ^{ \sqrt{2} )} \sqrt{6}}{3 \sqrt{2} } = \frac{2 \sqrt{3}^{(2}}{3 \cdot 2} = \frac{ \sqrt{3} }{3}$

f)

$\frac{^{ \sqrt{5} } 5 \sqrt{3} }{4 \sqrt{5} } = \frac{5 \sqrt{15}^{(5}}{4 \cdot 5} = \frac{ \sqrt{15} }{4}$