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Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers2 Marks
Question
Write in descending order : $7\sqrt3$ and $3\sqrt7$
✓

Answer

$ 7 \sqrt{3 } =\sqrt{7^2 \times 3}=\sqrt{147}$
$ 3 \sqrt{ 7 }=\sqrt{3^2 \times 7}=\sqrt{63}$
$ 147>63$
$ \Rightarrow \sqrt{147}>\sqrt{63}$
$ \Rightarrow 7 \sqrt{ 3}>3 \sqrt{ 7} $

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