what is the square root of 400
400Phil’s father’s Square Root told him that their square barn was 400 square meters in size. Phil wondered what lengths the sides of the shed might be. He took a tape measure to measure the edges. To find the area, we have to find the squares of the sides (side x). To find the side of the square when the area is given, we need to find the square root. We know that 20 × 20 = 400. Thus, the length of the sides of the warehouse is 20 yards, in this lesson we will calculate the square root of 400 using the length division method along with some interesting math problems. taste. square root of 400
- Square root of 400: 20
- Square 400: 1,60,000 won
1. What is the square root of 400? 2. Is the square root of 400 Reasonable or Unreasonable? 3. How to Find the Square Root of 400? 4. FAQ about Square Root of 400
- The square root of a number is a number that, when multiplied by itself, gives the original number the product.
- 400 = a × a = 202
- Then a = 400 = (20 × 20)
- 20 × 20 = 400 or -20 × -20 = 400
- 2nd root of 400 is +20 or – 20
- This shows that 400 is a perfect square.
Read more: What is the C programming language? Basics, Introduction, History | The leading Q&AA number that can be expressed as a ratio of two integers, i.e., p/q where q is not 0, is called a rational number. Now, let’s look at the square root of 400.√400 = 20 = 20/1. Therefore, the square root of 400 is a rational number, the square root of 400 can be calculated using methods such as: Prime Factor or Long Division Method or Repeated Subtraction Method.
Square root of 400 using repeated subtraction
Start at 400 and keep subtracting consecutive odd numbers until we get zero. The total we subtract is the square root of 400.
- 400 – 1 = 399
- 399 – 3 = 396
- 396 – 5 = 391
- 391 – 7 = 384
- 384 – 9 = 375
- 375 – 11 = 364
- 364 – 13 = 351
- 351 – 15 = 336
- 336 – 17 = 319
- 319 -19 = 300
- 300 – 21 = 279
- 279 – 23 = 256
- 256 – 25 = 231
- 231 – 27 = 204
- 204 – 29 = 175
- 175 – 31 = 144
- 144 – 33 = 111
- 111 – 35 = 76
- 76 – 37 = 39
- 39 – 39 = 0
Read more: First Length or Width How, starting at 400, we subtracted 20 times to get 0. So, the square root of 200 is 20. Let’s follow these steps to get find the square root of 400 by long division.
- Step 1: Group the digits into pairs (For digits to the left of the decimal point, match them from right to left) by placing a bar over it. Since our number is 400, let’s represent it as inside the divider symbol.
- Step 2: Find the largest number such that when multiplying it by itself, the product is less than or equal to 4. We know that 2 × 2 = 4. Now, let’s divide 4 by 2.
- Step 3: Write down the next pair of numbers, which is 00. Multiply the quotient 2 by 2 and write that number in the place of the new divisor. Here it is 4.
- Step 4: Pick a number in the place of the units for the new divisor such that its product with a number is less than or equal to 0. We know that 4 is in the place of ten and our product should be 0, that is, 40 × 0 = 0. The completion of long division stops here when the remainder is 0. Thus, the quotient 20 is the square root of 400.
Explore square roots using interactive illustrations and examples. Read more: What disease does Dave navaro have?
- Square root of 225
- Square root of 169
- Square root of 125
- Square root of 100
- Square root of 1000
- Are all square roots rational?
- What are numbers with integer square roots called?
- Can square root be negative?
- The square root of 400 in root form is expressed as 400
- In exponentiation, the square root of 400 is expressed as 4001/2
- The true origin of 400 is +20 or -20.
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