Question

Wie komme ich auf sqrt(11,25) = 3/2*sqrt(5)?

Answer 1

Hi,

$$\sqrt{11,25} = \sqrt{\frac{11,25}{1}} = \sqrt{\frac{45}{4}} = \sqrt{\frac{9\cdot5}{4}} = \frac32\cdot\sqrt{5}$$

Grüße

Answer 2

sqrt(11,25)

= sqrt( 45/4)

= sqrt ( 9*5/4)

= sqrt(9) * sqrt(5) / sqrt(4)

= 3/2*sqrt(5)

Answer 3

11,25 =1125/100=45/4 =5·9/4.

√(5·9/4)= 3/2·√5.

Answer 4