The function can be simplified further by writing the square root of four as two. This symbol is known as the radical symbol or radix. that are perfect squares and whose squares are easy to find. Hence, the number whose square root is to be determined is called the radicand. The square root of 8, denoted by \[\sqrt{8}\], is the number whose square gives you the number 8. Sorry!, This page is not available for now to bookmark. The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. The number underneath this radix is called as radicand. For example, you are calculating the square root of x. However, there are a few numbers like 4, 9, 16, etc. However, since the square of 3 equals to 9 which is larger than 8, the root 8 value lies in between the number 2.8 and 2.9. The number underneath this radical symbol is known as radicand. Then, we take that value and multiply by itself 3 times. Taking the whole root of the value 22 x 2, you get √4 x √2. The square root of the resulting number, x\[^{2}\], is expressed as \[\sqrt{x^{2}}\], that is, x. Now, we know that \[\sqrt{2}\] = 1.41421... A faster way to estimate the square root of a bigger number is to determine its range. In this way, the calculation becomes easier and less time-consuming. √ 8 = q × q = q 2 In a simpler for, \[\sqrt{8}\] is written as \[2\sqrt{2}\]. Consider any two other numbers, say, n and m in such a way that n. . So essentially, square root of 8 to the power of 3 = (2.828 x 2.828 x 2.828) = 22.627. However, to calculate the square root of a number, which is not a perfect square, in decimal, the division method is used. To estimate the square root of a perfect square, we always implement the first method. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. The square root of 8 in mathematical form is written with the radical sign like this √8. The square of a number, x, is obtained when it is multiplied by itself. Pro Lite, Vedantu However, since the square of 3 equals to 9 which is larger than 8, the root 8 value lies in between the number 2.8 and 2.9. The square root of the resulting number, x\[^{2}\], is expressed as \[\sqrt{x^{2}}\], that is, x. This symbol is known as the radical symbol or simply radix. Even though 8 is not a prime number, yet, when we take its square root, we get 2, as its only prime factor. The square root of 8 is a quantity (q) that when multiplied by itself will equal 8. As you can see the radicals are not in their simplest form. The square of a number, x, is obtained when it is multiplied by itself. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. Pro Lite, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. Only numbers bigger than or equal to zero have real square roots. A faster way to estimate the square root of a bigger number is to determine its range. Now, you can say that √x is a number that lies in between the numbers n and m. In this way, it will become easier to estimate the square root of bigger numbers. When you manually find the value of root 8, you get 2√2. The square root of eight √8 = 2.8284271247462 How To Calculate Square Roots 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. You can use these values for your calculations. Root of √4=2 which results into 2√2. Do you know what the square root of 8 to the power of 3 is? Now, when we multiply an irrational number,\[\sqrt{2}\], by a rational number, 2, the result so obtained, 2\[\sqrt{2}\], is … Here is a chart of the square roots of numbers from 1 to 100 for your reference. So, you can easily find the cube root of 8 which is denoted as \[\sqrt[3]{8}\]= 2. To find the value of √8, you have to first express the number 8 as a product of its prime factors.