Download App

Rationalisation — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsRationalisation2 Marks
Question
Simplify the following expression:$(\sqrt{5}-2)(\sqrt{3}-\sqrt{5})$
✓

Answer

$(\sqrt{5}-2)(\sqrt{3}-\sqrt{5})$
$=\sqrt{15}-\sqrt{25}-2\sqrt{3}+2\sqrt{5}$
$=\sqrt{15}-\sqrt{5\times5}-2\sqrt{3}+2\sqrt{5}$
$=\sqrt{15}-5-2\sqrt{3}+2\sqrt{5}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Rationalisation→Rationalisation — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Without actually calculating the cubes, find the value of:
$(0.2)^3-(0.3)^3+(0.1)^3$
→
ABC and ADC are two right triangles with common hypotenuse AC. Prove that $\angle CAD =\angle ABD.$
→
Give an example of a trinomial of degree $4.$
→
Assuming that $x, y, z$ are positive real numbers, simplify the following: $\Big(\text{x}^{-\frac{2}{3}}\text{y}^{-\frac{1}{2}}\Big)^2$
→
Simplify the following: $3\sqrt{3}+2\sqrt{27}+\frac{7}{3}$
→
Factorise: $\frac{\text{x}^3}{216}-8\text{y}^3$
→
Find a rational number between $-\frac{3}{4}$ and $-\frac{2}{5}$
→
Factorize: $\text{x}^2+5\sqrt{5}\text{x}+30$
→
Simplify the following: $\frac{5\times25^{\text{n}+1}-25\times5^{2\text{n}}}{5\times5^{2\text{n}+3}-(25)^{\text{n}+1}}$
→
Define the following terms: Concurrent lines.
→