Last updated on May 26th, 2025
If a number is multiplied by itself, the result is a square. The inverse operation is the square root. The square root is used in various fields such as vehicle design, finance, etc. Here, we will discuss the square root of 1/961.
The square root is the inverse of squaring a number. 1/961 is a fraction and can be considered a perfect square. The square root of 1/961 is expressed in both radical and exponential forms. In radical form, it is expressed as √(1/961), whereas in exponential form, it is (1/961)^(1/2). The square root of 1/961 is 1/31, which is a rational number because it can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
The prime factorization method can be used for perfect squares, and since 1/961 can be broken down into perfect squares, it can be simplified easily. Let's learn the following methods:
Prime factorization involves expressing a number as the product of its prime factors. Let's break down 961:
Step 1: Prime factorization of 961 Breaking it down, we get 31 x 31: 31^2
Step 2: Since 1/961 is 1/(31^2), the square root is 1/31. This is because the square root of a quotient is the quotient of the square roots.
For fractions like 1/961, the square root can be calculated directly:
Step 1: Recognize that 961 = 31^2.
Step 2: The square root of 1 is 1.
Step 3: Therefore, the square root of 1/961 is 1/31.
Can you help Max find the area of a square box if its side length is given as √(1/961)?
The area of the square is 1/961 square units.
The area of a square = side². Since the side length is √(1/961), the area is (√(1/961))² = 1/961. Therefore, the area is 1/961 square units.
A square-shaped garden measures 1/961 square feet; if each of the sides is √(1/961), what will be the square feet of half of the garden?
1/1922 square feet
To find half of the area, simply divide the total area by 2. (1/961) ÷ 2 = 1/1922. Therefore, half of the garden measures 1/1922 square feet.
Calculate √(1/961) x 5.
5/31
First, find the square root of 1/961, which is 1/31. Then multiply 1/31 by 5. (1/31) x 5 = 5/31.
What will be the square root of (1/961 + 1)?
Approximately 1.032
First, find the sum: 1/961 + 1 = 962/961 Then find the square root: √(962/961) ≈ 1.032
Find the perimeter of the rectangle if its length ‘l’ is √(1/961) units and the width ‘w’ is 38 units.
76.064516 units
Perimeter of the rectangle = 2 × (length + width) Perimeter = 2 × (1/31 + 38) = 2 × (0.032258 + 38) = 2 × 38.032258 = 76.064516 units.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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