Question

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

Answer 1

Answer:

A simple expression is $\sqrt{48}$ = 4$\sqrt{3}$

Step-by-step 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 $\sqrt{48}$.

So that,

                            $\sqrt{48}$ = $\sqrt{16 * 3}$

                                   = 4$\sqrt{3}$

Answer 2

Answer: √108

Step-by-step 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