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

`√(a)` ×
`√(b)` ⇔
`√(ab)`

`√(a)` ×
`√(a)` = a

Rationalise the denominator by multiplying numerator/ denominator by
`√(6)`

2
`√(3)` /
`√(6)` ×
`√(6)` /
`√(6)`

= 2
`√(18)` / 6 = (2 × 3
`√(2)`) / 6 =
`√(2)` → A

Answer 2

The answer is:

A) √2

Step-by-step explanation:

2√3/ √6

=2/√2

= 2√2/√2√2

= 2√2/2

= √2

Hope it helps!