Question

What is the solution to this problem

Answer 1

The solution to the given surd expression is: 1/2

How to multiply surds?

A "surd" is a mathematical term referring to a number that can't be simplified to remove a square root (or cube root, etc.). For example, √2 (square root of 2) can't be further simplified, so it is a surd.

We are given the expression:

`((3)/(√(18) ) )((1)/(√(2) ))`

Now, √18 can be expressed as:

√18 = √(9 * 2)

= 3√2

Thus, we have the expression as:

`((3)/(3√(2) ) )((1)/(√(2) ))`

= 3/(3 * 2)

= 3/6

= 1/2

Correct question is:

Simplify the surd expression
`((3)/(√(18) ) )((1)/(√(2) ))`