Simplify the following. (a) 3√2 + 5√2 (b) 7√5 - 3√5 (c) 4√7 + 5√7 - 3√7 (d) 2√3 + √27

Question

Simplify the following.

(a) \(3\sqrt{2}+5\sqrt{2}\) 

3√2 + 5√2

(b) \(7\sqrt{5}-3\sqrt{5}\) 

7√5 - 3√5

(c) \(4\sqrt{7}+5\sqrt{7}-3\sqrt{7}\)

(d) \(2\sqrt{3}+\sqrt{27}\)

(e) \(4\sqrt{3}-3\sqrt{12}+3\sqrt{75}\)

Answer 1

(a) \(8\sqrt{2}\)

(b) \(4\sqrt{5}\)

(c) \(6\sqrt{7}\)

(d) \(\sqrt{3}+3\sqrt{3}=5\sqrt{3}\)

(e) \(4\sqrt{3}-3\sqrt{4\times3}+3\sqrt{25\times3}\)

= \(4\sqrt{3}-6\sqrt{3}+15\sqrt{3}\)

= \(13\sqrt{13}\)