Question

rationalize the denominator
1/3√7+5​

Answer 1

Step-by-step explanation:

multiply N and D by 3√7-5 to get

3√7-5/ ( 63-25)

=(3√7-5)/38

Answer 2

${\dfrac{1}{3{\sqrt7}+5}} \\\\ \implies {\dfrac{1}{3{\sqrt7}+5}} \times {\dfrac{3{\sqrt7}-5}{3{\sqrt7}-5}} \\\\ \implies {\dfrac{3{\sqrt7}-5}{(3{\sqrt7})² - (5)²}} \\\\ \implies {\dfrac{3{\sqrt7}-5}{63-25}} \\\\ \implies {\dfrac{3{\sqrt7}-5}{38}}$