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Sagot :
A perfect square can be defined as a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
The value of N for the given question is 6.
To reach the above solution we need following steps:
Given:
[tex]\rm 150\times N = Perfect\:square[/tex]
Since 150 is not a perfect square N is not equals to 1.
Putting values starting from 2 on the place of N.
[tex]150\times2 = 300\\\\150 \times3=450\\\\150\times4= 600\\\\150\times5= 750\\\\150\times6=900[/tex]
Since 900 is a perfect square, the value of N will be 6.
Learn more about perfect square here:
https://brainly.com/question/385286
A perfect square is the product of any positive whole number used as a factor exactly two times. The number six should be multiplied by the 150 to make it a perfect square. Thus least positive whole number which is multiplied by the 150 to make it a perfect square N is 30.
Given-
The given number in the problem which need to be perfect square is 150.
The least positive whole number which is multiplied by the 150 to make it a perfect square is N.
What is perfect square?
A perfect square is the product of any positive whole number used as a factor exactly two times.
The number 150 needs to be break down in the small integers to get the value of the smallest integer which makes the product of integer and 150 a perfect square.
150 can be written as,
[tex]150=2\times3\times5\times5\\[/tex]
Two and three remains without the pairs. The product of 2 and 3 is 6.
Six should be multiplied by the 150 to make it a perfect square. Thus
[tex]=150\times6\\[/tex]
[tex]=900[/tex]
[tex]=\sqrt{900}[/tex]
[tex]=30[/tex]
Hence the number six should be multiplied by the 150 to make it a perfect square. Thus least positive whole number which is multiplied by the 150 to make it a perfect square N is 30.
Learn more about the perfect square here;
https://brainly.com/question/385286
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