Q:

Every real number has two square roots. Explain why.

Accepted Solution

A:
Answer:Every Positive real number has two square roots.Step-by-step explanation:All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots[tex]a^{2}=a.a=(-a).(-a)[/tex]A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.Negative numbers don't have real square roots since a square is either positive or 0.If the square root of an integer is another integer then the square is called a perfect square.If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root