Question

What is the simplest form of 2√3/ √6 A. √2 B. √3 C. 3√2 D. 2√3

Answer 1

A

using the laws of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

$\sqrt{a}$ × $\sqrt{a}$ = a

Rationalise the denominator by multiplying numerator/ denominator by $\sqrt{6}$

2$\sqrt{3}$ / $\sqrt{6}$ × $\sqrt{6}$ / $\sqrt{6}$

= 2$\sqrt{18}$ / 6 = (2 × 3$\sqrt{2}$) / 6 = $\sqrt{2}$ → A

Answer 2

The answer is:

A) √2

Explanation:

2√3/ √6

=2/√2

= 2√2/√2√2

= 2√2/2

= √2

Hope it helps!