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Rationalisation — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsRationalisation2 Marks
Question
Simplify the following expression:
$(\sqrt{3}+\sqrt{7})^2$
✓

Answer

$(\sqrt{3}+\sqrt{7})^2$
As we know, $(a+b)^2=\left(a^2+2 \times a \times b+b^2\right)$
$=\sqrt{3^2}+2\times\sqrt{3}\times\sqrt{7}+\sqrt{7^2}$
$=3+2\times\sqrt{3\times7}+7$
$=10+2\times\sqrt{21}$

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