Question

Simplify the following surd expressions a) 9√3 - 4√3 + √5 + 2√5 b) 10√2 + 4√7 - 6√2

Answer 1

Answer:

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

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

Step-by-step explanation:

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

We need to combine like terms:

$9\sqrt{3}-4\sqrt{3}$

$=5\sqrt{3}$

$\sqrt{5}+2\sqrt{5}$

$=3\sqrt{5}$

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

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Combine like terms:

$b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}$

$0\cdot \sqrt{2}-6\sqrt{2}$

$=-6\sqrt{2}$

$-6\sqrt{2}+4\sqrt{7}$

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Answer 2

A) 5√3 + 3√5
B) 4√2 + 4√7