Know how to convert between radical form and rational exponent form. The square root of 100 = 10, so your answer is. So the square root of 500 = the square root of 100 * the square root of 5. Be careful when taking the nth root of … In rational exponent form, the denominator of the exponent is the index of the root and the numerator is the power of the expression. When you have a square root of a number that isn't a perfect square, you need to factor it until you get a number that is a perfect square. So √ 300 = √ 4 * √ 25 * √ 3 = 2*5*√ 3 = 10√ 3. That’s the answer. To eliminate the square root radical from the denominator, multiply both the numerator and the denominator by the conjugate of the denominator. Radical expressions written in simplest form do not contain a radical in the denominator. Since we have a square root in the denominator, then we need tomultiply by the square root of an expression that will give us a perfectsquare under the radical in the denominator.. Square roots are nice to work with in this type of problem because ifthe radicand is not a perfect square to begin with, we just have to multiplyit by itself and then we have a perfect square. It is also used for other meanings in more advanced mathematics, such as the radical of … First see if 300 has any perfect squares as factors. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. D. Answer by Alan3354(66390) ( Show Source ): "Note that any positive real number has two square roots, one positive and one negative. For example take the example of 250 as follows: $$ \text {we can rewrite 250 as } 5 \times 5 \times 5 \times 2 $$ $$ \text {This can be written in radical form : } … Click here to see ALL problems on Square-cubic-other-roots Question 235167 : what is the the square root of 507 in simplest radical form? 500 = 100 x 5. ... 500 feet [/hidden-answer] Roots. The 2nd root of 100, or 100 radical 2, or the square root of 100 is written as \( \sqrt[2]{100} = \sqrt[]{100} = \pm 10 \). 4 divides 300 giving 75, so there’s one. 3 is prime. For example, x 2/3 would be the cube root of x 2. 10 * the square root of 5. The square root of a number is written as , while the th root of is written as . 25 divides 75 giving 3, so there’s a second. Square roots is a specialized form of our common roots calculator. In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. We know that a radical expression is in its simplest form if there are no more square roots, cube roots, 4th roots, etc left to find.