Question
Add: $=\big(2\sqrt{2}+5\sqrt{3}-7\sqrt{5}\big)$ and $\big(3\sqrt{3}-\sqrt{2}+\sqrt{5}\big)$
✓
Answer
We have, $=\big(2\sqrt{2}+5\sqrt{3}-7\sqrt{5}\big)+\big(3\sqrt{3}-\sqrt{2}+\sqrt{5}\big)$ $=\big(2\sqrt{2}-\sqrt{2}\big)+\big(5\sqrt{3}+3\sqrt{3}\big)+\big(-7\sqrt{5}+\sqrt{5}\big)$ $=(2-1)\sqrt{2}+(5+3)\sqrt{3}+(-7+1)\sqrt{5}$ $=\sqrt{2}+8\sqrt{3}-6\sqrt{5}.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Simplify: $\big(3-\sqrt{11}\big)\big(3+\sqrt{11}\big)$
→If an angle is $30^\circ $ more than one half of its complement, find the measure of the angle.
→Find the remainder when $x^3+3 x^3+3 x+1$ is divided by: $x+1$
→Find the following products:
$(4 x-5 y)\left(16 x^2+20 x y+25 y^2\right)$
→$(4 x-5 y)\left(16 x^2+20 x y+25 y^2\right)$
In figure, rays $AB$ and $CD$ intersect at $O$. Determine $x$ when $y = 40^\circ .$
→Factorize the following expressions:
$10 x^4 y-10 x y^4$
→$10 x^4 y-10 x y^4$
Multiply: $2\sqrt{6}$ by $3\sqrt{3}$
→The mean of $8$ numbers is $35$. If a number is excluded then the mean is reduced by $3$. Find the correct mean.
→Expand:
$(3 x+2)^3$
→$(3 x+2)^3$
Verify $x = \frac{4}{5}$ are zeroes of the polynomial $p\left( x \right) = 5x - \pi$
→