Respuesta :

wegnerkolmp2741o

4 sqrt(400) / 4 sqrt(5)

sqrt(400) =20

4 *20

--------

4 sqrt(5)

the 4's on the top and bottom cancel

20

--------

sqrt(5)


I was taught never to leave a sqrt in the denominator

so you need to multiply by sqrt (5) in the numerator and the denominator

20* sqrt(5)

--------

sqrt(5)* sqrt(5)


20* sqrt(5)

--------

5

= 4 sqrt(5)


mathstudent55

Answer:

[tex] 4\sqrt{5} [/tex]

Step-by-step explanation:

[tex] \dfrac{4\sqrt{400}}{4\sqrt{5}} = [/tex]

[tex] = \dfrac{4 \times 20}{4\sqrt{5}} [/tex]

[tex] = \dfrac{20}{\sqrt{5}} [/tex]

[tex] = \dfrac{20\sqrt{5}}{\sqrt{5} \sqrt{5}} [/tex]

[tex] = \dfrac{20\sqrt{5}}{5} [/tex]

[tex] = 4\sqrt{5} [/tex]

Otras preguntas