Which statement shows that the set of irrational numbers is not closed under multiplication? 1/7(square root of 7) equals square root of 7/7

square root of 5 time square root of 2 equals square root of 10

square root of 3 times 3 equals 3 square root of 3

square root of 2 times square root of 2 equals square root of 4

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis

Typically a point in a three dimensional cartesian coordinate system is represented by which of the following answers in the picture !

Which is a logical conclusion based on the given information? a. figure abcd is a rhombus by the definition of a rhombus. b. segment ac is congruent to segment dc by cpctc. c. angle acb is congruent to angle adc by the angle-side-angle theorem. d. triangle acd is congruent to triangle cab by the hypotenuse-leg theorem.