Final answer:
The square root of -10 cannot be expressed solely in terms of an integer because it is an imaginary number. The simplest form is the product of the square root of 10 (which is irrational) and the imaginary unit 'i', which is written as √10 * i.
Step-by-step explanation:
To write the square root of -10 in terms of an integer, we need to recognize that the square root of a negative number is not a real number. The square root of -1 is defined as the imaginary unit, denoted by 'i'. Therefore, √-10 can be simplified to:
√-10 = √(10 * -1) = √10 * √-1 = √10 * i
However, it's important to note that √10 is not an integer and cannot be further simplified into an integer. The square root of 10 is an irrational number. Hence, √-10 in terms of an integer is not possible as it yields an imaginary number with an irrational component. The simplest form is √10 times 'i', where 'i' is the imaginary unit.