Maths-
General
Easy
Question
Find the smallest square number by which 9408 must be divided , so that it becomes a perfect square.
Hint:
By prime Factorize the given number and we find the number to be divided to get the perfect square.
The correct answer is: 3
Ans :- 3
Explanation:-
prime factorize 9408
9408 = 2 × 4704
= 2 × 2 × 2352
= 2 × 2 × 2 × 1176
= 2 × 2 × 2 × 2 × 588
= 2 × 2 × 2 × 2 × 2 × 294
= 2 × 2 × 2 × 2 × 2 × 2 × 147
= 2 2 × 2 × 2 × 2 × 2 × 3 × 49
= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7
By observation if we divide the number 9408 by 3 we get the perfect square.
Related Questions to study
Maths-
The volume of a sphere is given by the formula 
, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
The volume of a sphere is given by the formula , where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
Maths-General
Maths-
Evaluate a) 
Evaluate a)
Maths-General
Maths-
Find the smallest number by which 8075 should be divided to get a perfect number ?
What is the perfect square number so obtained ? Find the square root of this number ?
Find the smallest number by which 8075 should be divided to get a perfect number ?
What is the perfect square number so obtained ? Find the square root of this number ?
Maths-General
Maths-
Find the smallest number by which 31752 should be divided to get a perfect square
number ?
Find the smallest number by which 31752 should be divided to get a perfect square
number ?
Maths-General
Maths-
ABC is an equilateral triangle. Base BC is produced to E. Such that BC= CE. Calculate 
?
ABC is an equilateral triangle. Base BC is produced to E. Such that BC= CE. Calculate ?
Maths-General
Maths-
Find the smallest number by which 694 should be multiplies , so that product is a perfect square.
Find the smallest number by which 694 should be multiplies , so that product is a perfect square.
Maths-General
Maths-
The perpendicular bisectors of the sides of a triangle ABC meet at point I. prove that IA=IB=IC
The perpendicular bisectors of the sides of a triangle ABC meet at point I. prove that IA=IB=IC
Maths-General
Maths-
Use prime factorization method to find the square root of each of the following :
c) 1089
Use prime factorization method to find the square root of each of the following :
c) 1089
Maths-General
Maths-
Use prime factorization method to find the square root of each of the following :
b)175
Use prime factorization method to find the square root of each of the following :
b)175
Maths-General
Maths-
Use prime factorization method to find the square root of each of the following :
a)11025
Use prime factorization method to find the square root of each of the following :
a)11025
Maths-General
Maths-
In Triangle ABC , AB= AC, and D is a point on AB. Such that AD=DC=BC. Show that 
In Triangle ABC , AB= AC, and D is a point on AB. Such that AD=DC=BC. Show that
Maths-General
Maths-
In the triangle ABC, the angles at A and C are 40° and 95° respectively. If N is the foot of the perpendicular from C to AB , prove that CN = BN.
In the triangle ABC, the angles at A and C are 40° and 95° respectively. If N is the foot of the perpendicular from C to AB , prove that CN = BN.
Maths-General
Maths-
Given XYZ is a triangle in which XW is the bisector of the angle x and XW ⊥ yz. Prove that xy= xz.
Given XYZ is a triangle in which XW is the bisector of the angle x and XW ⊥ yz. Prove that xy= xz.
Maths-General
Maths-
ABC is a triangle in which altitudes BE and CF to sides AC and AB respectively are equal. Show that
(i) ΔABE ⩭ ΔACF
(ii) AB = AC
ABC is a triangle in which altitudes BE and CF to sides AC and AB respectively are equal. Show that
(i) ΔABE ⩭ ΔACF
(ii) AB = AC
Maths-General
Maths-
In the figure, OA = OD and OB = OC. Show that:
(i) AOB ⩭ DOC
(ii) AB || CD
In the figure, OA = OD and OB = OC. Show that:
(i) AOB ⩭ DOC
(ii) AB || CD
Maths-General
