Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.


a) Rationalise the denominator of
20/root 10
Give your answer in its simplest form.

Sagot :

ⲊⲧɑⲅⲊⲏɑᴅⲟᏇ

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bigstar \boxed{\large\bf{\leadsto 2\sqrt{10}}}[/tex]

__________________________________________

[tex]\large\bf{Here,}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟹\frac{20}{\sqrt {10}}}[/tex]

❒ Multiply the numerator and denominator by [tex]\bf{\sqrt{10}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼\frac{20}{\sqrt{10}}\times\frac{\sqrt{10}}{\sqrt{10}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼\frac{20\sqrt{10}}{(\sqrt{10})^2}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼\frac{20\sqrt{10}}{10}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\large\bf{⟼2\sqrt{10}}[/tex]

UserIndonesia

Answer:

[tex]\bf 2 \sqrt{10} \approx6.32456[/tex]

Step-by-step explanation:

[tex] \sf \frac{20}{ \sqrt{10} } [/tex]

[tex] \sf = \frac{20}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } [/tex]

[tex] \sf = \frac{20 \sqrt{10} }{ \sqrt{10} \sqrt{10} } [/tex]

[tex] \sf = \frac{20 \sqrt{10} }{10} [/tex]

[tex] \sf = 2 \sqrt{10} \approx6.32456[/tex]

Conclusion:

Simple form of [tex] \sf \frac{20}{ \sqrt{10} } [/tex] is [tex]\bf 2 \sqrt{10} \approx6.32456[/tex].

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.