Go step by step to reduce the radical.

Step-by-step explanation:

You can begin by breaking down √(160) into its prime factors.

160 = 2 * 2 * 2 * 2 * 2 * 5

√(160) = √(2 * 2 * 2 * 2 *2 * 5)

This can be broken down further by

2 * 2√2 * 5

For every 2 factors that are the same, take one outside the brackets

4 √10

I suppose the way you are supposed to write this is √16 * √10

I'm not sure I'm right. There are 2 square root signs there and it is the only way I can think of to use 2 square root signs.

the answer is 175.4379

step-by-step explanation: