Question

Which expression can be written as k square root 3 where k is an integer

Answer 1

A simple expression is
`√(48)` = 4
`√(3)`

Explanation:

Surds are irrational numbers expressed with respect to a square root. There are some basic rules required when dealing with surd.

Integers are numbers that do not have a decimal or fractional part i.e whole numbers. So, a simple expression that can be written as k square root 3 where k is an integer is
`√(48)`.

So that,

`√(48)` =
`√(16 * 3)`

= 4
`√(3)`

Answer 2

Answer: √108

Explanation:

√108

Factor out the term with the exponent, which is a multiple of 2.

√6² × 3

Find the root of the product, which is equal to the product of the roots of each factor.

√6²√3

Next, simplify the root by reducing the index of the radical and the exponent with 2.

6√3

In this case, 6 would be an integer taking the place of k.

Note: There can be multiple answers to a problem like this, such as...

√48 = 4√3