Respuesta :
Answer:
D on edge
Step-by-step explanation:
I took the test
A quotient is a quantity that is obtained by dividing two integers. The correct option is D.
What is a quotient?
A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
In order to find the quotient of the fraction, we need to take the rationalise of the fraction.
[tex]\dfrac{2}{(\sqrt{13}+\sqrt{11})}\\\\= \dfrac{2}{(\sqrt{13}+\sqrt{11})} \times \dfrac{(\sqrt{13}-\sqrt{11})}{(\sqrt{13}-\sqrt{11})}\\\\= \dfrac{2{(\sqrt{13}-\sqrt{11})}}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\=\dfrac{2{(\sqrt{13}-\sqrt{11})}}{13-11}[/tex]
= 2(√13-√11)/2
= (√13-√11)
Hence, the quotient of division 2/( √13+√11) is (√13-√11).
The complete question is:
What is the following quotient? startfraction 2 over startroot 13 endroot startroot 11 endroot endfraction startroot 13 endroot minus 2 startroot 11 endroot startfraction startroot 13 endroot startroot 11 endroot over 6 endfraction startfraction startroot 13 endroot startroot 11 endroot over 12 endfraction startroot 13 endroot minus startroot 11 endroot
Learn more about Quotient:
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