Question

An expression is shown below. √87x For which value of x should the expression be further simplified? ​

Answer 1

The expression √87x cannot be further simplified because the square root and the variable are multiplied together. However, it is possible that the expression was meant to be written as √(87x) with the entire expression under the square root symbol. In this case, the expression can be further simplified by evaluating the square root of 87 times x, but the value of x is not relevant to this simplification.

Answer 2

The expression √87x can be simplified further if x is a perfect square, because we can then rewrite the expression as the product of two factors, one of which is a perfect square. Here's how:

√87x = √(x * 87) = √(x * 3 * 29)

If x is a perfect square, say x = a^2, then we can rewrite the expression as:

√(a^2 * 3 * 29) = a√(3 * 29)

In this form, the expression is simplified further, because a is a constant and √(3 * 29) is a simplified radical.

Therefore, to simplify the expression √87x further, we need x to be a perfect square.