Question

rationalise the denominator: root3 minus root5 divided by root7 minus root6
$\sqrt{3} - \sqrt{5 } \div \sqrt{7} - \sqrt{6}$
​

Answer 1

Answer:

-4

Step-by-step explanation:

root 3- root 7. (root3-root7) x (root7 + root6)

------------------. = ------------------------------------------

root7- root6 (root7-root6) x (root7 + root6)

root21 + root18 - root49 - root42. root39 - root91

-------------------------------------------------- = ------------------------

( root7)² - (root6)². 49-36

= root39 - root91. 13(3-7)

-----------------------. = ------------( 13 and 13 cancel) = -4

13. 13