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austint1414

[tex]Solution, \frac{7}{\sqrt{5}}=\frac{7\sqrt{5}}{5}\quad \left(\mathrm{Decimal:\quad }\:3.13050\dots \right)[/tex]

Answer Choice A. [tex]7\cdot \frac{\sqrt{5}}{25}=\frac{7\sqrt{5}}{25}\quad \left(\mathrm{Decimal:\quad }\:0.62610\dots \right)[/tex]

Answer Choice B. [tex]35\sqrt{5}=78.26238\dots[/tex]

Answer Choice C. [tex]\frac{49}{\sqrt{35}}=\frac{7\sqrt{35}}{5}\quad \left(\mathrm{Decimal:\quad }\:8.28251\dots \right)[/tex]

Answer Choice D. [tex]7\cdot \frac{\sqrt{5}}{5}=\frac{7\sqrt{5}}{5}\quad \left(\mathrm{Decimal:\quad }\:3.13050\dots \right)[/tex]

The correct answer is D. 7√5/5

Hope This Helps!!!

ajeigbeibraheem

The expression that is equal to the equation  7/√5 is 7√5/5. The fourth option is correct.

[tex]\mathbf{\dfrac{7}{\sqrt{5}}}[/tex]

In the given mathematical expression, fractions containing square roots are known as surds. They are usually no longer further simplified but they can be converted to decimal numbers with the use of calculators. Surds are commonly known as irrational numbers.

From the given expression, we are going to convert it to decimal numbers to determine the options that correspond to it.

[tex]\mathbf{\dfrac{7}{\sqrt{5}} = 3.1305}[/tex]

From the given options:

[tex]\mathbf{\dfrac{7 \sqrt{5}}{25} = 0.6261 }[/tex]

[tex]\mathbf{35 \sqrt{5} = 78.26}[/tex]

[tex]\mathbf{\dfrac{49}{\sqrt{35}} = 8.2825}[/tex]

[tex]\mathbf{\dfrac{7\sqrt{5}}{5} = 3.1305}[/tex]

Therefore, from the above solution, the fourth option correctly corresponds and is equal to the expression 7/√5

Learn more about surds here:

https://brainly.com/question/24436961?referrer=searchResults

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