See, below on this web page, details on how to calculate this square root using the Babylonian Method We can therefore convert √72 like this: √ 36 × 2 Next, we separate the numbers inside the √ as such: √ 36 × √ 2 √36 is a perfect square that equals 6. The largest perfect square factor of 72 = 36. Answer link. Rewrite as . Subtract the product we calculated (which is 425) from the current number on the left (also 425). Root of √36=6 which results into 6√2; The square root of √72 = 8.48528137424 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The solution above and all other square root solutions were provided by the Square Root Application. Factor out of . Now extract and take out the square root √36 * √2. 72 has the square factor of 36. The square root of 72 is 8.4852813742385702928101323452582. The "-" sign then turns it into a negative. First we write the square root of 72 like this: √ 72 The largest perfect square of the factors of 72 is 36. As you can see the radicals are not in their simplest form. The square root of 72 (√ 72 ) Given: Radicand = 72. Note: I chose a perfect square (2025 = 45 x 45) on purpose. Rewrite as . Rewrite as . 72 is the sum of four consecutive primes 13 + 17 + 19 + 23, as well as the sum of six consecutive primes 5 + 7 + 11 + 13 + 17 + 19. Pull terms out from under the radical. We know that √36*2=√72. Sep 18, 2015. This way I could show the rules for solving square root problems. Go here for the next problem on our list. Here is how to do that! I would honestly go with B more than A. The square root of 72 is 8.4852813742386. Square Root of 72 in Decimal form rounded to nearest 5 decimals: 8.48528 Exponent Form Square Root of 72 written with Exponent instead of Radical: 72 ½ = 6 x 2 ½ Simplify Square Root of 73 The answer to Simplify Square Root of 72 is not the only problem we solved. It is √72 = √2⋅ 36 = √2 ⋅62 = 6 ⋅√2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. * List of Perfect Squares Consecutive integers calculator provide the list of consecutive integers starting from any value. Factor out of . Simplify square root of 200- square root of 72. √ 72 = 6√ 2 = 8.4853. Or, √ 72 = 8.4852813742386. Simplify each term. Tap for more steps... Rewrite as . Pull terms out from under the radical. STEP 6: Subtract Again. The square root of 72 in its simplest form means to get the number 72 inside the radical √ as low as possible. The result is zero, which means the task is complete. It is the second digit in the root. The square root of 72 is 8.485. Applying the product rule for radicals: √ 72 = √ 36 * √ 2. Are not in their simplest form means to get the number 72 inside the radical √ as as. 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