It is given abc is a square number, n2. Also, a + b +c = n + 2. The value of n is
It is given a + b = 14 and ab - ba = n2 The value of n is
Find the value of P so that 2P3 + P2 + 18 is a square number
The square of the number 123456789 is an n-digit number. The value of n is
Find a square number in the form of aabb
A palindrome is a number that reads the same forward and backward, 1234 and 4321, therefore, is called a palindromic pair.
Find a palindromic pair whose product is 101556
a, b and c are all primes. The sum of their inverses is \(\dfrac{167}{385}\).Find the three primes
The sum of three prime numbers is 96. Find the possible values of these primes
It is given that abc is a prime number . Find the number of divisors for abcabc
Roy is one year older than Sam. Sam is two years older than Tim. The product of their age is 3210 . How old is Tim?
It is given x = ky +4 where k is a constant, satisfies the equations:
\(\left\{{}\begin{matrix}3x-2y-8=0\\2x+3y=1\end{matrix}\right.\)
Solve the simultaneous equations:
5x + 2y = 19
2x + 5y =16
if a+b = 4 and \(a^3+b^3=28,a^2+b^2=?\)
\([hint:\left(a+b\right)^2=a^2+2ab+b^2\)\(\left(a+b\right)^3=\left(a+b\right)\left(a^2-ab+b^2\right)\)
Given m+n = 11 and mn = 9, find the value of \(m^2+n^2\).
Given 3x + 5y = 2, find the value of \(27^x.243^y\).
Given \(a^m=\dfrac{1}{3}\) and \(a^n=6\), find the value of \(2^{2m+3n}\).
Rank \(2^{777}\),\(3^{555}\)and \(4^{444}\) in ascendung order in terms of their values.
Solve the value of the unknown in each of the following:
(a) \(3^x=243\)
(b) \(5^m=625\)
(c) \(16^x.5^{2x}=400\)
(d) \(2^{2n+2}+2^{2n}=160\)
Simplify each of the following:
(a) \(x^3.x^4\)
(b) \(a^5.a^4\)
(c) \(\left(m+n\right)^3.\left(m+n\right)^2\)
(d)\(x^{n+1}.x^{2n+3}\)
(e)\(\left(3m^2n^3\right)^3\)
111...111 (2002 1s) 555...555 (2002 5s) is the product of two consecutive odd numbers.
Find the sum of these two odd numbers.