Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
4. Solving Radical Equations and Inequalities
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Exercise 57 Page 268

A radical of a square root cannot be negative.

See solution.

Practice makes perfect
Let's consider the given radical equation.

sqrt(x+4)= - 5 Notice that the right-hand side of the equation is negative. Since a radical of a square root is always non-negative, the left-hand side cannot be negative. Therefore, the given equation has no real solutions.