Question

12(числитель) корень из 15+5(знаменатель) освободитесь от иррациональности в знаменателе

Answer 1

Ответ:

$6-1,2\sqrt{15}$

Объяснение:

$\dfrac{12}{\sqrt{15}+5}=\dfrac{12}{5+\sqrt{15}}=\dfrac{12(5-\sqrt{15})}{(5+\sqrt{15})(5-\sqrt{15})}=\dfrac{12(5-\sqrt{15})}{5^{2}-(\sqrt{15})^{2}}=\dfrac{12(5-\sqrt{15})}{25-15}=$

$=\dfrac{12(5-\sqrt{15})}{10}=1,2(5-\sqrt{15})=6-1,2\sqrt{15} \ ;$

Answer 2

Simplifying the Irrational Number

To simplify the expression 12√15/5 and remove the irrationality from the denominator, we can start by simplifying the numerator.

The expression can be simplified as follows: 12√15/5 = 12/5 * √15

Simplified Expression

The simplified expression with the irrationality removed from the denominator is: 12/5 * √15

This simplification removes the irrationality from the denominator, as requested.