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ladessa [460]
3 years ago
10

Simplify the radical expression by rationalizing the denominator.

Mathematics
2 answers:
RSB [31]3 years ago
3 0

Answer:

7√5

-------  or  (7/5)√5

  5

Step-by-step explanation:

7√100

---------- can be simplified by reducing the radicand from 100/500 to 1/5.

√500

Then we have    7

                         ------

                           √5

Multiplying numerator and denominator both by √5 results in

7√5

-------  or  (7/5)√5

  5

iVinArrow [24]3 years ago
3 0

Answer:

last

Step-by-step explanation:

observe

\frac{7\sqrt{100}}{\sqrt{500}}=7\sqrt{\frac{100}{500}}\\=\frac{7}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}}\\=\frac{7\sqrt{5}}{5}

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<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%20" id="TexFormula1" title="( \frac{1}{2})^{2} " alt=
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------------------------
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