Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. A number bigger than zero has two square roots: one is positive (bigger than zero) and the other is negative (smaller than zero). A perfect square is achieved by taking a positive integer and multiply it by itself. Rock drummer: I was drinking 2 gallons of vodka a day. In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. Fact Check: What Power Does the President Really Have Over State Governors? For example, to square 15 means to multiply 15 by 15, which equals 225. For example, 2 is the square root of 4, because 2x2=4. Square root calculator and perfect square calculator. Only numbers bigger than or equal to zero have real square roots. The inverse operation of finding a square root is squaring a number. In our next blog we shall learn about simplest form calculator I hope the above explanation was useful.Keep reading and leave your comments. Anonymous. sqrt(225) = ±15. For example, 2 is the square root of 4, because 2x2=4. 0 1. A square root is a number that, when you multiply it by itself, you get the number you started with. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. Calculate the positive principal root and negative root of positive real numbers. The square root of 225 is 15, both the perfect square 225 and its square root 15 has the unit digit as 5. We call this the square root of 225 in radical form. Fifteen multiplied by 15 equals 225, thus making 15 the square root of 225. 0 1. 1 decade ago. 'I think I'll be back soon': Trump speaks from hospital. It's just sqrt (255). Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The square root of a number is equal to the number of the square roots of each factor. Homework. A radical is also in simplest form when the radicand is not a fraction. ), The Secret Science of Solving Crossword Puzzles, Racist Phrases to Remove From Your Mental Lexicon. It cannot also be -15 because you can't have a negative square root. Examples of perfect squares are 1, 4, 9, 16, 25 and 225. This means that we can only have a real root in a square root if and only if the radicand is positive. It's just sqrt(255).-John. √ 225 = q × q = q 2 The radicand no longer has any square factors. Squaring a number is simply multiplying that number by itself. All radicals are now simplified. By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled them. What is the square root of 225 - Answered by a verified Tutor. The factors of 225 = 3x3x5x5 = 3^2x5^2 Square root of 225 = [3^2x5^2]^0.5 = 3^(2*0.5)*5^(2*0.5) = 3x5 = 15. The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. The square root of 225 is positive and negative 15. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. Examples of perfect squares are 1, 4, 9, 16, 25 and 225. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. Another way to ask this question is, what is the square root of 225? The number of squares in a scrabble board is 225, in which it has 15 boxes horizontally, and 15 boxes vertically (15 x 15 = 225).