SSC CGL 2026 | SSC Maths Simplification Tricks | CHSL/CPO | SSC CGL Maths Classes 2026 By Tarun Sir

The video starts by introducing simplification as a crucial part of mathematics, essential not only for exams but also for daily life. It outlines topics to be covered, including squares, square roots, cubes, cube roots, multiplication, division, addition, and subtraction. The first session focuses on squares and square roots, specifically for two and three-digit numbers, including non-perfect squares.

The instructor demonstrates a method for squaring two-digit numbers, using examples like 56 and 74. The process involves squaring each digit, multiplying the two digits and doubling the result, then adding these values, aligning them appropriately. The example of 88 squared is used to emphasize mental calculation and reducing written steps through practice.

This section introduces a specific trick for squaring numbers that end in five, applicable to both two-digit and three-digit numbers. For a number like 45, the method involves squaring the '5' (giving 25) and then multiplying the preceding digit '4' by its next consecutive number '5' (giving 20), combining them to get 2025. Examples like 75 and 115 are used to illustrate this technique.

The video then progresses to squaring larger numbers, exemplified by 114, 154, and 216. The method extends the previous technique, where the number is split into a unit digit and the remaining digits. The squares of both parts are calculated, followed by the product of both parts doubled, adding them with careful alignment. The instructor advises memorizing squares up to 30 or 40 for faster calculations.

A more advanced method for squaring numbers, especially those near hundreds (e.g., 406, 509, 514, 532, 878), is introduced. This involves finding a nearby number with double zeros (like 400 or 500), subtracting and adding the difference, squaring the difference, and performing specific multiplications and divisions by 100. The concept of handling carry-overs when the squared difference exceeds two digits is also explained.

The focus shifts to calculating square roots for perfect square numbers. The basic understanding of square roots and their notation is covered. The method involves identifying the potential unit digit of the square root based on the unit digit of the number, and then determining the leading digits by finding which perfect squares the number falls between. Examples like 7744 and 3364 are used to explain this method in detail.

This section provides more examples for finding square roots of perfect squares, including 2401, 4489, and 1296. The instructor emphasizes practical application and reduction of steps. The 'equal or greater' rule for choosing the final digit of the square root is explained: if the comparison number is greater than or equal to the product, choose the larger option; otherwise, choose the smaller one. Further examples with larger numbers like 16641, 33124, and 58564 solidify the understanding.

The video concludes by addressing square roots of non-perfect squares. It clarifies that numbers ending in 2, 3, 7, or 8 are non-perfect squares. For these, an approximate value is calculated. The method involves breaking the non-perfect square into a perfect square plus or minus a remainder, and applying a specific formula. Examples like the square root of 29, 60, and 191 are worked through to demonstrate this approximation technique.

The instructor wraps up the session, encouraging viewers to practice and reminding them about the next class. The upcoming topics include cubes, cube roots, multiplication, division, addition, subtraction, and Bodmas rule, all designed to build a strong foundation for competitive exams. The session concludes with information on how to access the PDF notes and join the Telegram group for discussions.