what least number must be multiplied to 578 so that the product become a perfect square
Answers
Answer:
Step-by-step explanation:
We will do this question usingpprime factorisation method:
578= 2*17*17
So we must multiple the given no. By 2 to get a perfect squre.. |ANS
Newnymber= 2*2*17*17=1156 |ANS
Answer:
2 is the least number that must be multiplied to 578 to make the product a perfect square.
Step-by-step explanation:
A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Examples of Numbers that are Perfect Squares. 25 is a perfect square. 25 is a natural number, and since there is another natural number 5, such that 52 = 25, 25 is a perfect square.
For this let's first factories 578 .
578= 2 ×17×17
= 2 × 17².
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
Now to make it perfect square
Multiply 2 in the above factors .
X= 2²×17²
X= 1156.
Hence , our number is 1156.
As ita a perfect square as 34²= 1156.
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