M1 Math Final Exam

The square root of 36 is the number that, when multiplied by itself, equals 36. Since 6 x 6 = 36, the correct answer is 6.

The square root of 81 is the number that, when multiplied by itself, equals 81. Since 9 x 9 = 81, the correct answer is 9.

To solve 5^2, you multiply 5 by itself: 5 x 5 = 25. Therefore, the correct answer is 25.

To solve 10^2, we calculate 10 raised to the power of 2, which means 10 multiplied by itself: 10 x 10 = 100. Therefore, the correct answer is 100.

The number \(\sqrt{2}\) is irrational because it cannot be expressed as a fraction of two integers. In contrast, 9 is an integer, \(\frac{4}{2}\) equals 2 (a rational number), and 1.25 is also rational.

A rational number is any number that can be expressed as a fraction of two integers. The number 2 can be written as 2/1, making it rational. In contrast, π and √3 are irrational numbers.

-5 is an integer because it is a whole number that can be positive, negative, or zero. It is not a natural number (which are positive) or a whole number (which are non-negative). Thus, the correct answer is 'Integer'.

The set of natural numbers includes only positive integers (n>0). It does not include negative integers or zero, which are not considered natural numbers in standard definitions.

π is an irrational number because it cannot be expressed as a fraction of two integers. Therefore, the correct category for π is 'Irrational numbers', while the other options include rational numbers, which do not apply.

A scalene triangle has all sides of different lengths, an obtuse triangle has one angle greater than 90 degrees, and an equilateral triangle has all sides equal. A parallelogram is a four-sided figure, not a triangle.