Question
Simplify: $\big(-3+\sqrt{5}\big)\big(-3-\sqrt{5}\big)$
✓
Answer
$\big(-3+\sqrt{5}\big)\big(-3-\sqrt{5}\big)$ $=(-3)^2-\big(\sqrt{5}\big)^2$ $=9-5$ $=4$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Express the following rational numbers as decimals: $\frac{33}{26}$
→Evaluate: $(104)^3$ using a suitable identity.
→Using factor theorem, show that $g(x)$ is a factor of $p(x)$, when
$p(x)=x^4-x^2-12, g(x)=x+2$
→$p(x)=x^4-x^2-12, g(x)=x+2$
Expand:
$(2 a+5 b+7 c)^2$
→$(2 a+5 b+7 c)^2$
A hemispherical bowl of internal radius $9\ cm$ contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of diameter 3cm and height $4\ cm$ How many bottles required to empty the bowl?
→→
Simplify the following expression:
$(3+\sqrt{3})(3-\sqrt{3})$
→$(3+\sqrt{3})(3-\sqrt{3})$
If $x=3+2 \sqrt{2}$, find the value of $\left(x^2+\frac{1}{x^2}\right)$.
→If $f(x)=2 x^3-13 x^2+17 x+12$, Find: $f(-3)$
→Can a triangle have all angles less than $60^\circ ?$ Give reason for your answer.
→