The Square source 59 is a number which once multiplied through itself, outcomes in the number 59. 59 is likewise a prime number which makes it trickier to calculate its square root. We will learn just how to calculate the Square source of 59 and look at a couple of problems to assist us know this topic.

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**Square source of 59: √59**= 7.6811457...**Square that 59: 592**= 3481

1. | What is the Square root of 59? |

2. | Is Square root of 59 reasonable or Irrational? |

3. | How to find the Square source of 59? |

4. | FAQs on Square source of 59 |

The square root of a number is a number which once multiplied through itself, outcomes in the original number. For example, the square source of 25 is 5, together 5 times 5 results in 25 which provides it a perfect square. However, you can also have square root of some numbers that execute not result in entirety numbers, such together 59. We deserve to express the square source of 59 in various ways

Decimal form: 7.681Radical form: √59Exponent form: (59)1/2Since us concluded that the square root of 59is non-terminating, we deserve to only usage 2 approaches to calculation the worth of that is square root

Long division MethodEstimation and Approximation Method### Long Division

**Step 1:**starting from the right, we will pair increase the digits 59 by putting a bar over them. We also pair the 0s in decimals in bag of 2 from left come right.

**Step 2:**Think of a number whose square is less than or same to 59. In this case, that number would certainly be 7.

**Step 4:**drag a pair that 0’s down and also fill it alongside the remainder to make it 1000.

**Step 6:**The number 6is inserted in the quotient after ~ a decimal place. The new divisor because that the next division will be 146+ 6= 152.Proceeding in the very same manner and repeating from action 4, we can calculate the remainder of the decimals.

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Therefore, **the square source of****59 = 7.681**

### Estimation and also Approximation

The estimation technique gives united state an approximate answer and also is typically not specific to an ext than 1 decimal place. However, it is straightforward to execute as can be watched under.

Step 1: discover a perfect square the is smaller sized than and bigger 보다 59. In this case, 7and 8will occupational as their squares are 49and 64.Step 2: writing in terms of inequality- 7Step 3: multiply by 100 and also write in regards to square roots- √4900Step 4: relocate closer come inequality- √5776= 7.6Step 5: Taking median of upper and also lower limits we get, (7.6+ 7.7)/2 = 7.65Therefore, we can estimate **the square root of 59 ≅ 7.65**

**Explore Square roots making use of illustrations and interactive examples**

**Challenging Questions**

What is the square root of 59 up to 6 decimal places(Use long Division)What space the roots of -59? Also, find the value of the square that the an unfavorable root of -59