Question

Solve each equation by taking the square root. 1. n^2 = 8

Answer 1

This yields two solutions: n = ±2√2.

Explanation:

We need to find the value of n first.

Taking the square root of both sides of the equation:

√(n^2) = √8

This simplifies to:

n = ±√8

Breaking down the square root of 8:

n = ±√(4 * 2)

n = ±√4 * √2

n = ±2 * √2

So, the solutions for n are:

n = 2√2 or n = -2√2.