Calculate the square of any positive or negative number (x² = x × x) with scientific notation and step-by-step arithmetic.
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In mathematics, squaring a number is the result of multiplying a number by itself: x² = x × x. The operation is an exponentiation with a power of 2.
x^2 = x \times x, \quad (-x)^2 = x^2Multiplying a number by itself always yields a non-negative real result, because negative times negative is positive.
Scenario: Calculate the square of -15
Given: x = -15
Operation: (-15)² = (-15) × (-15)
Result: 225
No. The product of two positive numbers is positive, and the product of two negative numbers is also positive. Only imaginary numbers (like i) have negative squares (i² = -1).
1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
Because multiplying a side length by itself calculates the geometric area of a square: Area = s².
Multiply the decimal by itself. The result will have twice as many decimal places as the original number (e.g. 0.3 × 0.3 = 0.09).
Calculate the cube of any positive or negative number (x³ = x × x × x) with scientific notation and step-by-step arithmetic.
Calculate any base raised to the power of n (x^n) for positive, negative, and fractional exponents with step-by-step exponent laws.
Calculate the square root of positive and negative numbers (√x). Provides radical simplification, perfect square check, and imaginary roots.