Math Problem Statement

549162 में से कम से कम क्या घटाया जाए कि शेष बची संख्या एक पूर्ण वर्ग हो?

Solution

The question in the image is written in Hindi. It translates to:

"What is the minimum number that must be subtracted from 549162 so that the remaining number is a perfect square?"

Solution:

  1. First, we find the square root of the number 549162549162. 549162740.41\sqrt{549162} \approx 740.41 The largest integer less than or equal to 740.41 is 740.

  2. Now, we calculate the square of 740: 7402=547600740^2 = 547600

  3. To find the minimum number that should be subtracted from 549162 to make it a perfect square, subtract 547600 from 549162: 549162547600=1562549162 - 547600 = 1562

Answer:

The minimum number that must be subtracted from 549162 to make it a perfect square is 1562.

Would you like further details or have any questions?


Here are 5 related questions for practice:

  1. What is the nearest perfect square greater than 549162?
  2. How many perfect squares are there between 100000 and 600000?
  3. What is the square root of 547600?
  4. If 10000 is added to 549162, what would be the nearest perfect square?
  5. How do you calculate a perfect square?

Tip: When solving perfect square problems, using the square root function and rounding can quickly give you the nearest integer perfect square.

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Math Problem Analysis

Mathematical Concepts

Square roots
Perfect squares
Subtraction

Formulas

Square root formula: √x
Perfect square calculation: n^2

Theorems

Square and Square Root Theorem

Suitable Grade Level

Grades 8-10