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Prove that root 3 + root 5 is irrational
what are co-prime numbers??
prove that root 2+ root 3 is an irrational number
show that one and only one out of n, n+2, n+4 is divisible by 3
For any positive integer n prove that n3-n is divisible by 6
a)Find the H.C.F. of the smallest composite number and the smallest prime number.
b) . If a = 4q + r then what are the conditions for a and q. What are the values that r can take?
prove that product of 3 consecutive positive integers is always divisible by 6
If you are a Brilliant what is the formula for a4+b4
Q. Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some
express 0.3178 in p/q form, 178 is repeating manner.
The HCF of 65 and 117 is expressible in the form 65m-117.Find the value of m. Also find the LCM of 65 and 117 using prime factorisation method.
if alpha beta and gamma are the zeroes of polynomial 6x3+3x2-5x+1 then find the value of alpha raised to -1+beta raised to -1+gamma raised to -1
A circular field has a circumference of 360km. Three cyclist start together and can cycle 48,60 and 72km a day,round the field. When will they meet again ?
Let x= 7/22*53 be a rational number. Then x has decimal expansion which terminates:
a) after four places of decimal
b) after three places of decimal
c) after two places of decimal
d) after five places of decimal.
find the least number that is divisible by all numbers between 1 and 10(both inclusive)
show that any positive odd integer is of the form 6q+1,6q+3 or 6q+5, where q is some integer. explain the solution
show that the cube of any positive integer is of the form 9m,9m+1 or 9m+8
Find the smallest number which when increased by 17 is exactly divisible by 520 and 468?
The HCF and LCM of two numbers are 9 and 90 respectively. If one number is 18, find the other.
1. Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237.
2. Find the HCF of 65 and 117 and express it in the form 65m + 117n.
3. If the Hcf of the 210 and 55 is expressible in the form 210 X 5 + 55y, find y.
write one rational number between root 2 and root 3?
show that square of any positive integer cannot be of the form 5q+2 or 5q+3 for any integer q
LCM of 23 * 32 and 22 * 33 is
(C) 23 * 33
(D) 22 *32
Find the greatest number of 6 digits exactly divisible by 24, 15 and 36
What is the L.C.M of x and y if y is a multiple of x?
real life examples of hcf and lcm
Find the HCF of 81 and 237 and express it as a linear combination of 81 and 237
If HCF(a,8)=4 , LCM(a,8)=24 then find the value of 'a'.
In a morning walk 3 persons step off together, their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps?
Question from R.D. Sharma........
prove that root 2 is irrational
show that there is no positive integer n so that root(n-1)+root(n+1) is rational
define non integral number .....with example
Show that square of any positive odd integer is of the form 8m + 1, for some integer m.
show that 12n cannot end with digit 0 or 5 for any natural number n
Prove that if x and y are odd positive integers, then x2+y2 is even but not divisible by 4.
A forester wants to plant 66 apple trees 88 banana trees and 110 mango trees in equal row also he wants to make distinct rows of trees i.e only one type of tree in one row .the number of minimum rows requiredare:-
prove that if x and y are odd positive integers,the x2 +y2 is even but not divisible by 4.
prove n3-n is always divisible by 6
find the HCF of 180,252 and 324 using euclid division lemma?
Find HCF and LCM of 13 and 17 by Prime factorisation method.
Sir i want full explanation to this question and also i want the full reasoning and procedure to solve such kinds of problem to score good marks in mathematics examination.
on a morning walk 3 persons step off together and their steps measure 40 cm , 42 cm and 45 cm respectively what is the minimum distance each should walk so that each can cover the same distance in complete steps
Evolution of number system: A journey from "counting numbers" to "real numbers" ?
N is a natural number such that when N3 divided by 9 ,it leaves remainder a.It can be concluded that
a)a is a perfect square b) a is a perfect cube c) both of these d ) none of these
show that one and only one out of n ,n+4,n+8,n+12,n+16 is divisible by 5 where n is any positive integer
Find the smallest no. which leaves remainder 8 and 12 when divided by 28 and 32 respectively .
If m and n are odd positive integer, then m2+n2 is even but, not divisible by
Prove that 5-root 3 is irrational.
find the hcf and lcm of 404 and 96 and verify hcf x lcm = product of two given numbers
Can two numbers have 18 as their HCF and 380 as their LCM? give reasons
If root ab be an irrational number then prove that root a+ root b is irrational
how can we prove Euclid's division lemma?
if the HCF of 657 and 963 is expressible in the form 657x+963x-15,find x.
prove that 1+1/root2 is irrational
write whether 2 root 45 + 3 root 20 divided by 2 root 5 on simplification give a rational or irrational number
which of the following no.s has a non terminating repeating decimal expansion-
Find the greatest number of 5 digits exactly divisible by 12,15,36
Find the HCFof 65 and 117 and express it in the 65m+117n
use euclid's division lemma to show that the square of any positive intiger is either of the form 3m or 3m+1 for some integer m?
if two positive integers a b are written as a = x 3 y 2 and b = x y 3 where x y are prime numbers then the hcf of a b is=
Determine the no. nearest to 110000 but greater than 100000 which is exactly divisible by 8,15 and 21.
if p , q are two consecutive natural numbers then HCF(p,q) is: ????
Show that one and only one out of n,n+2,n+4 is divisible by 3,where n is any positive integer...???
plzz ans it!!!i really need it...!!
explain why 7*11*13+13 and 7*6*5*4*3*2*1+5 are composite numbers ?
if x =3m -1 and y =4 is a solution of the equation x+y=6 then then the value of m is
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