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Aleks [24]
3 years ago
8

Simplify: 4sqrt400/4sqrt5. show your work

Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

4\sqrt{5}

Step-by-step explanation:

\dfrac{4\sqrt{400}}{4\sqrt{5}} =

= \dfrac{4 \times 20}{4\sqrt{5}}

= \dfrac{20}{\sqrt{5}}

= \dfrac{20\sqrt{5}}{\sqrt{5} \sqrt{5}}

= \dfrac{20\sqrt{5}}{5}

= 4\sqrt{5}

shusha [124]3 years ago
4 0

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)


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DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
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