Q&A Show that if a, b, c form a triangle, then \sqrt{a},\sqrt{b}, \sqrt{c} form a triangle. Inequality
Q&A If x,y,z >0, prove the equality\sqrt{x+y}+\sqrt{y+z}+\sqrt{z+x}> 2\sqrt{\dfrac{(x+y)(y+z)(z+x)}{xy+yz+zx}} Inequality
Q&A If n\geq 1 Proof of the square root inequality 2\sqrt{n+1}-2\sqrt{n}<\dfrac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1} Inequality
Multiple choice Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Cube root
Multiple choice What is the smallest number by which 8788 must be divided so that quotient is a perfect cube Cube root
Q&A In \triangle ABC , D, E are two points on the sides of AC and AB. BD and CE intersects at point O , \angle OBC=\angle OCB=\dfrac{1}{2}\angle A. verify that BE=CD. Triangle
Q&A If a,b\in R such that a\sqrt{a} +b\sqrt{b} =183 and b\sqrt{a} +a\sqrt{b} =182, find the value of \dfrac{9}{5}(a+b) Algebraic equation
Q&A Given x,y,z >0 such that \dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}=1, find the minimum value of \dfrac{x}{yz}+\dfrac{y}{xz}+\dfrac{z}{xy} Inequality
Q&A Determine the value of \sin 6\degree \cdotp \sin 42\degree\cdotp \sin 66\degree\cdotp \sin 78\degree Trigonometry