Combine and simplify these radicals. radical 8 * radical 20

The answer to your question is √160 or 4√10

Step-by-step explanation:

Data

√8 √20

Combine the radicals

As both radicals are square roots, just use one radical and place the numbers inside. Multiply 8 and 20

√ 8 x 20

Simplify

√160

Find the prime factors of 160

160 2

80 2

40 2

20 2

10 2

5 5

1

160 = 2⁵ 5

Then √160 = √2⁵5

= √ 2⁴2 5

= 2²√ 2 5

= 4√10