Question

sqrt root with a fraction

Answer 1

Like this \( \color{eneter color name}{1/2 ~ √40 } \)

Answer 2

You need to simplify?

Answer 3

yea

Answer 4

What are the factors of 40?

Answer 5

*prime

Answer 6

factors:1,2,4,5,8,10,20,40,

Answer 7

Do you know how to do prime factorization?

Answer 8

ofc i do

Answer 9

Can you find the prime factors of 40?

Answer 10

oh factors

Answer 11

wait were you askin if 40 is prima.. it's not prime ;3
2^3 • 5

Answer 12

Right, the factors are:
2*2*2*5

Answer 13

We can simplify √40 by taking the two 2's out:
2√10

Answer 14

I assume you mean:\[\frac{ 1 }{ 2\sqrt{40} }\]... our job is to get that radical out of the denominator. The trick here is to identify the largest perfect square factor of 40. It's not 2, not 5, not 8, etc. Why? Find the largest perfect square factor of 40.

What's left? sqrt(10). To get this sqrt(10) out of the denom., multiply numerator and den. of your fraction by sqrt (10) and simplify your result.

Answer 15

No i mean this

Answer 16

Your den. will no longer have a radical (square root sign) in it.

Answer 17

The square root of 40 simplifies to this: 2√10
The next step is to multiply by 1/2