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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]

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[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].

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