Rational and Irrational Numbers — MATHEMATICS STD 9 — Question
ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers2 Marks
Question
Insert five irrational numbers between $2 \sqrt{5}$ and $3 \sqrt{3}$.
✓
Answer
We know that $2 \sqrt{5}=\sqrt{4 \times 5}=\sqrt{20}$ and
$3 \sqrt{3}=\sqrt{9 \times 3}=\sqrt{27}$
Thus, We have,
$\sqrt{20}<\sqrt{21}<\sqrt{22}<\sqrt{23}<\sqrt{24}<\sqrt{25}<\sqrt{26}<\sqrt{27}$
So any five irrational numbers between $2 \sqrt{5}$ and $3 \sqrt{3}$ are :
$\sqrt{21}, \sqrt{22}, \sqrt{23}, \sqrt{24} \text {, and } \sqrt{26}$
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