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For example, the tenth root … As a decimal, this is approximately #3.1622# Hope this helps! #sqrt(2*5)#, which is also equal to. Use this table to find the squares and square roots of numbers from 1 to 100. Algebra Radicals and Geometry Connections Multiplication and Division of Radicals. Know and learn the method or the process from which you can find the approximate value of the square root of 10.As the number 10 is not a perfect square, so we cannot get root 10 value easily.. 10 is not a perfect square since 3.162 is not an irrational number. Since #10=2*5#, we can rewrite this as. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. What is the square root of 5 times the square root of 10? To calculate fractional exponents use our calculator for Fractional Exponents. The square root of 10 is 3.162 and its reciprocal is .3162. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. References [1] Weisstein, Eric W. "Square Root." You can also use this table to estimate the square roots of larger numbers. #sqrt2*sqrt5# However, since we have no perfect square factors, this is about as simplified as we can get. To get a more exact number, you will have to use a calculator (44.721 is the more exact square root of 2,000). From MathWorld-- A Wolfram Web Resource. The tenth root of a number is the number that would have to be multiplied by itself 10 times to get the original number. Square Root. The 2nd root of 10, or 10 radical 2, or the square root of 10 is written as $$\sqrt[2]{10} = \sqrt[]{10} = \pm 3.162278$$.