what is the square root of 46

Square Root of 46 The square root of 46, also known as the root 46, is the number that when multiplied by itself gives 46. To find the length of a side of a square with an area of ​​46, we need to know the root. its second degree. Now we will see how to calculate the square root of 46 and discover some other interesting facts.Square root of 46: 46= 6.78232998… Square 46: 46² = 2116 Read: square root of 46 1. What is square root of 46? 2. Is the square root of 46 Reasonable or Unreasonable? 3. How to find the square root of 46? 4. Important Note 5. Challenging Question 6. Square Root of 46 . FAQ

  • Decimal: 6.782
  • Radical form: 46
  • Exponential form: 461/2
  • Long division method
  • Methods of estimation and approximation

Long Division

  • Step 1: Starting from the right, we’ll match the digits of 46 by placing a bar above them. We also concatenate zeros in decimal from left to right.
  • Step 2: Think of a number whose square is less than or equal to 46. In this case, the number would be 6.
  • Step 3: Divide 46 by 6 with a quotient of 6, we get a remainder of 10.
  • Step 4: We reduce a pair of zeros to the remainder and thus get 1000.
  • Step 5: The divisor, in this case 6 is doubled and written below. Now, we have 12X as the new divisor and we need to find a value of X that makes the product of 12X × X less than or equal to 1000. In this case, 127 is the required value.
  • Step 6: The digit 7 is placed in the quotient after the decimal place. The new divisor for the next division will be 12X + X, in this case 134.
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Read more: What do green and red make up. In the same way and repeat from step 4, we can calculate the remainder of the decimal.So, square root of 46 = 6.782

Estimates and approximations

Read more: What is a head-to-head store The estimation method gives us approximate answers and is often inaccurate to more than 1 decimal place. However, it is very easy to do as can be seen below.

  • Step 1: Find a perfect square of size 46 and smaller. In this case, 6 and 7 will work because their squares are 36 and 49.
  • Step 2: Write as inequality- 6 < 46 < 7 = 36 < 26 < 49
  • Step 3: Multiply by 10 and write as square root: 3600 < 4600 < √4900
  • Step 4: Get close to the inequality: 4489 < √4600 < √4624 = 67 < 10√46 < 68 = 6.7 < 26 < 6.8
  • Step 5: Take the average of the upper limit and the lower limit, we get (6.7 + 6.8) / 2 = 6.75

Therefore, we can estimate square root of 46 6.75Explore square roots using interactive illustrations and examplesRead more: What does Ty mean in the text

  • Square root of 45
  • Square root of 48
  • Square root of 49
  • Square root of 36
  • Square root of 23
  • Find the value of √√46.
  • What is the root of -46?
  • Determine the square root of 4646.

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