Why do we have to use the plus minus symbol for the answer to square root problems?

Answer: If we want both the positive and the negative square root of a radicand then we put the symbol ± (read as plus minus) in front of the root. This means that numbers or square root can’t be written as the quotient of two integers. …

Is the square root of a number always Plus or minus?

No, its not the case that the square root of a number return only a positive value. Basically it returns both positive as well as negative value. Concept behind the square root : Every positive number a has two square roots: √a, which is positive, and −√a, which is negative.

Why is there a plus or minus in the quadratic formula?

Why the “±” (“plus-or-minus”) sign? Because it might have been a positive 2 or a negative 2 that was squared to get the 4. Because we were factoring a difference of squares, we arrived at two solutions, being equal other than for their signs.

What is the answer of minus plus?

Addition and Subtraction Two ‘pluses’ make a plus, two ‘minuses’ make a plus. A plus and a minus make a minus.

What do a minus and a plus make?

Adding and multiplying combinations of positive and negative numbers can cause confusion and so care must be taken. Two ‘pluses’ make a plus, two ‘minuses’ make a plus. A plus and a minus make a minus.

What is a square root minus a square root?

Starts here1:28Adding and Subtracting Square Roots – YouTubeYouTube

How was imaginary numbers discovered?

Although the Greek mathematician and engineer Hero of Alexandria is noted as the first to have conceived imaginary numbers, it was Rafael Bombelli who first set down the rules for multiplication of complex numbers in 1572. The concept had appeared in print earlier, such as in work by Gerolamo Cardano.

How do you know when to use plus or minus in quadratic formula?

As a general rule you should look at a quadratic and see if it can be solved by taking square roots; if not, then if it can be easily factored; and finally use the quadratic formula if there is no easier way. Notice the plus-or-minus symbol (±) in the formula.

Does the square root of minus 3 equal plus 3?

Oh no! We started with minus 3 and ended with plus 3. When we square a number, then take the square root, we may not end up with the number we started with! In fact we end up with the absolute value of the number: That also happens for all even (but not odd) Exponents. An even exponent always gives a positive (or 0) result.

Why can’t square roots be written as the quotient of two integers?

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 The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can’t be written as the quotient of two integers.

Is the square root of a number always positive?

Why some people say it’s true: That’s exactly what I was taught in school: when you take a square root, the answer is always “plus or minus” some value. x, x, it becomes positive no matter what it was before; then, when you take the square root, it’s still positive.

What is the square root of a radicand that is not perfect?

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 ± 3 = ± 1.73205… ≈ ± 1.7 The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can’t be written as the quotient of two integers.