1 over square root of 2 rationalized Exact Form 2 2 2 2 Decimal Form 0 70710678 0 70710678 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions
Example 1 2 has an Irrational Denominator Let s fix it Multiply top and bottom by the square root of 2 because 2 2 2 1 2 2 2 2 2 Now the denominator has a rational Explanation 1 2 2 2 1 1 2 2 2 2 2
1 over square root of 2 rationalized
1 over square root of 2 rationalized
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Something like 1 1 root2 root3 If so group as 1 root2 root3 and multiply through by the difference of squares conjugate 1 root2 root3 That makes the Welcome to Omni s rationalize denominator calculator where we ll show you how to get rid of a square root or any other radical from the denominator In general roots tend to be irrational so the procedure is
The calculator rationalizes denominators containing one or two radical terms For one radical term the calculator multiplies the numerator and denominator by the square root for two radical terms it uses multiplication by the conjugate To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots The key idea is to multiply the original fraction by an appropriate value such that after simplification the
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How To Given an expression with a single square root radical term in the denominator rationalize the denominator Multiply the numerator and denominator by the radical in the Step 1 Identify the Radical in the Denominator The first step is to identify if there is a radical in the denominator that needs to be rationalized This could be a square root cube
The product of two square roots is the square root of the products In other words you can multiply two square roots and put them under the same radical as shown below sqrt 2 Exact Form 2 2 Decimal Form 1 41421356 1 41421356 Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions
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1 over square root of 2 rationalized - Here we show you a step by step solved example of rationalisation This solution was automatically generated by our smart calculator frac 5 sqrt 2 2 To rationalize the