square root of 20 divided by the square root of 15?

Question

simplify the expression

Answer 1

You people are forgetting that this equation can yield a negative result. The square root of 20 can be 4.47... or -4.47... and the square root of 15 can be 3.87... or -3.87...

Therefore √20 ÷ √15 is ±1.1547...

Jim C actually has the correct answer in terms of simplifying the equation:

√20 ÷ √15
↓
√4 × √5 ÷ √3 × √5
↓
2 × √5 ÷ √5 ÷ √3 × √5 ÷ √5
↓
2 ÷ √3

I gave him a thumbs up!

Puggy is correct that you must rationalize the denominator.
To rectify this simply multiply the numerator and denominator by the radical:

2 ÷ √3
↓
2 × √3 ÷ √3 × √3
↓
2 × √3 ÷ 3

That is a better answer.

I gave Puggy a thumbs up, too.

Answer 2

2 x square root of 5 divided by square root of 15

Answer 3

square root of 20 divided by the square root of 15 =
root(4 x 5) / root(3 x 5) =
root{(4 x 5) / (3 x 5)} =
root (4 /3) =
2 root(1/3) =
2 root(3/9) = (2/3) root(3)

Th

Answer 4

square root of 20/square root of 15=
20^1/2/15^15=(4*5)^1/2/(5*3)^1/2

You will notice that 5^1/2 is in both numerator and denominator, so they drop out and you get:

4^1/2 / 3^1/2
Square root of 4 is 2 so this equals
2 / square root of 3

3 is not a perfect square, to get it out of the denominator, multiply fraction by square root of 3/square root of 3

2(square root of 3)/(square root of 3)(square root of 3)=
2 rad 3/3

Answer 5

The square root of 20 divided by the square root of 15 is

the square root of (20 divided by 15) which is

the square root of 1.33333 which is

get your calculator out.

Answer 6

sqrt(20) / sqrt(15)

sqrt(4 * 5) / sqrt(15)

sqrt(4)sqrt(5) / sqrt(15)

2sqrt(5) / sqrt(15)

It is bad form to have a radical on the bottom. Let's multiply numerator and denominator by sqrt(15).

2sqrt(5)sqrt(15) / 15

Now, merge the two radicals into one.

2sqrt(75)/15

2sqrt(3)sqrt(25)/15

2sqrt(3)[5] / 15

10sqrt(3)/15 = 2sqrt(3)/3

Answer 7

20|2
10|2
05|5
01
2\/5 = \/20
15|3
05|5
01
\/3.\/5 = \/15
\/20:\/15 = 2\/5 : \/3.\/5
2 over sqrt of 3.
<>

Answer 8

sqrt(20)/sqrt(15) =
2 * sqrt(5) / sqrt(3) * sqrt(5) =
2 / sqrt(3)

Answer 9

1.527

Answer 10

1.1547