Question

Simplify each of the following by rationalizing the denominators:​

Answer 1

Answer:

$(\sqrt{30} - 3)- 2 \sqrt{5} + (\sqrt{30} - 6) = 2( \sqrt{30} - \sqrt{5} ) - 9$

Step-by-step explanation:

$( \sqrt{10} + \sqrt{3} )( \sqrt{10} - \sqrt{3} ) = 10 - 3 = 7$

$( \sqrt{6} + \sqrt{5} )( \sqrt{6} - \sqrt{5} ) = 6 - 5 = 1$

$( \sqrt{15} + 3\sqrt{2} )( \sqrt{15} - 3 \sqrt{2} ) = 15 - 9 \times 2 = - 3$