Question
Simplify the following: $\sqrt[4]{81}–8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}$
✓
Answer
$\sqrt[4]{81}–8\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}$ $=\sqrt[4]{3}^4–8\sqrt[3]{6^3}+15\sqrt[5]{2^5}+\sqrt{225}$ $=3-(8\times6)+(15\times2)+15$ $=3-48+30+15=0$
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
Can all the angles of a quadrilateral be acute angles? Give reason for your answer.
Simplify: $\big(\sqrt{5}-\sqrt{3}\big)^2$
→ Calculate the value of x in the following figures.
By Remainder Theorem find the remainder, when $p(x)$ is divided by $g(x)$, where:
$p(x)=4 x^3-12 x^2+14 x-3, g(x)=2 x-1$
→$p(x)=4 x^3-12 x^2+14 x-3, g(x)=2 x-1$
Factorize the following expressions:
$(a-3 b)^3+(3 b-c)^3+(c-a)^3$
→$(a-3 b)^3+(3 b-c)^3+(c-a)^3$
Express the following equation in the form $ax + by + c = 0$ and indicate the values of $a, b, c$ in case.$2\text{x}-\frac{\text{y}}{5}+6=0$
→ABC is a right-angled triangle in which $\angle A =90^{\circ}$ and $AB = AC$. Find $\angle B$ and $\angle C$.
→Mean of $50$ observations was found to be $80.4$. But later on, it was discovered that $96$ was misread as $69$ at one place. Find the correct mean.
→Find the volume of a sphere whose surface area is $154 cm^2$.
→Rationalise the denominator of the following: $\frac{2}{3\sqrt{3}}$
→