√162 simplify the following surds
Answers
Answer:
The square root of 162 is 9√2 or approximately 12.72792. To solve the square root, you can use mental math to see if any of its factors: 1, 2,...
Answer:
The number 162 has only two prime factors, 2 and 3. The square root of 162 will be a number whose product with itself results in 162. The square root of 162 can be positive and negative. Now we will find the square root of 162 using different methods and will also look at a few interesting facts and problems.
Square root of 162: 12.7279
Square of 162: 26244
What Is the Square Root of 162?
The square root of 162 can be written as √162 and (162)1/2
The square root of 162 is √162 = 12.7279
The number 162 is not a perfect square as its square root is not an integer.
Is Square Root of 162 Rational or Irrational?
The square root of 162 is a non-terminating and non-repeating number.
Hence, the square root of 162 is an irrational number as it cannot be expressed in the form of p/q where q ≠ 0.
How to Find the Square root of 162?
Now we will calculate the square root of 162 using the following methods:
Prime Factorization Method
Long Division Method
Square Root of 162 Using Prime Factorization Method
The prime factorization of 162: 2 × 34
The prime factors of 162 in pairs: 2 × (3 × 3) × (3 × 3)
Now, the square root of 162: √162 = √ (2 × (3 × 3)2)
So, the square root of 162 = (3 × 3) × √2 = 9√2
Square Root of 162 By Long Division
We will now find the square root of 162 by the long division method with the help of the steps given below.
Start Grouping the digits from the unit’s place in pairs of two by putting a bar on top of them. We get two pairs in this case (1 and 62).
Find a number(n) which when multiplied with itself n × n ≤