Simplify the following. (a) √50 x √2 (b) √27 x √3 (c) √12 x √36 (d) √24 x √6

Question

Simplify the following.

(a) \(\sqrt{50}\times\sqrt{2}\) 

√(50) x √2

(b) \(\sqrt{27}\times\sqrt{3}\) 

√(27) x √3

(c) \(\sqrt{12}\times\sqrt{36}\)

(d) \(\sqrt{24}\times\sqrt{6}\)

(e) \(\sqrt{28}\times\sqrt{7}\)

(f) \(\sqrt{32}\times\sqrt{2}\)

(g) \(\sqrt{5}\times\sqrt{10}\times\sqrt{2}\)

(h) \(\sqrt{8}\times\sqrt{5}\times\sqrt{10}\)

Answer 1

(a) \(\sqrt{25}\times2\times\sqrt{2}\) = \(\sqrt{25}\times\sqrt{2}\times\sqrt{2}\) = 5 × 2 = 10

(b) \(\sqrt{9}\times3\times\sqrt{3}\) = 3 × 3 = 9

(c) \(\sqrt{4}\times3\times6\) = 2 × \(\sqrt{3}\times6\) = \(12\sqrt{3}\)

(d) \(\sqrt{6}\times4\) × \(\sqrt{6}\) = 2 × 6 = 12

(e) \(\sqrt{4\times7}\times\sqrt{7}=2\times7=14\)

(f) \(\sqrt{16\times2}\times\sqrt{2}=4\times2=8\)

(g) \(\sqrt{5}\times\sqrt{5}\times\sqrt{2}\times\sqrt{2}=10\)

(h) \(\sqrt{4}\times\sqrt{2}\times\sqrt{5}\times\sqrt{2}\times\sqrt{5}\) = \(2\times2\times5=20\)