Question

Simplify: 4sqrt400/4sqrt5. show your work

Answer 1

Answer:

$4\sqrt{5}$

Step-by-step explanation:

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

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

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

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

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

$= 4\sqrt{5}$

Answer 2

4 sqrt(400) / 4 sqrt(5)

sqrt(400) =20

4 *20

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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)

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sqrt(5)* sqrt(5)

20* sqrt(5)

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5

= 4 sqrt(5)