Mathematics: How do i answer this please?

How do i answer this please? - id10242501, AngstyGroot

kylaprather06

16.03.2022

a) $5\sqrt{3} + 3\sqrt{5}$

b) $4(\sqrt{2} + \sqrt{7})$

Step-by-step explanation:

a) $9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}$

Taking √3 & √5 common respectively,

$= \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)$

$= 5\sqrt{3} + 3\sqrt{5}$

b) $10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}$

Taking √2 common ,

$= \sqrt{2} (10-6) + 4\sqrt{7}$

$= 4\sqrt{2} + 4\sqrt{7}$

Taking 4 common ,

$= 4(\sqrt{2} + \sqrt{7})$

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