Q: How do you rationalize the square root of 5 divided by the square root of 8?

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You cannot. The square root of 5 is irrational.

Multiply everything by the square root of 3 minus the square root of 2 and then times that by 100 - 72 and divide that by 5

2 square root of 5

0.4

The idea is to get rid of the square root in the denominator. For this purpose, you must multiply numerator and denominator by the square root of 6 in this case.

25

2.5

1

5

12

25

0.4545

a+ square root of b has a conjugate a- square root of b and this is used rationalize the denominator when it contains a square root. If we want to multiply 5 x square root of 10 by something to get rid of the radical you can multiply it by square root of 10. But if we look at 5x( square root of 10 as ) 0+ 5x square root of 10 then the conjugate would be -5x square root of 10

Square root (75) / square root (3) = 5

12

It is 5/6*sqrt(3).

100

16

25

sqrt(360) - sqrt(250)/sqrt(5) = 11.90, approx.

25

0.6944

2

√2/√10 = √(2/10) = √(1/5) = √(1x5/5x5) = (√5)/5

2

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