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This Simplification question develops accurate interpretation and stepwise calculation for “Simplify: √26569”. The explanation preserves the original mathematical conditions, verifies 163, and identifies common errors involving signs, brackets, operation order, factors, remainders or fraction handling. The verified result is 163.
The verified answer is 163, option D. Simplify roots through perfect-power factors and evaluate operations in the correct order. The question-specific working recorded with the item is: Applying BODMAS to √26569 gives 163.. The distractors 165, 167, 161 may arise from changing the order of operations, mishandling a negative sign, using an incorrect reciprocal, ignoring a divisibility condition, or rounding an exact value. An independent reverse-check again gives 163.
FAQ
Common questions and clear answers for this topic.
Simplify roots through perfect-power factors and evaluate operations in the correct order.
163, option D.
Changing operation order, losing a sign, or simplifying a factor where cancellation is invalid.
Substitute it back, estimate its magnitude, or recompute using an equivalent form.
Simplification involves solving mathematical expressions using BODMAS rule. BODMAS stands for: Brackets, Orders (powers and roots), Division, Multiplication, Addition, Subtraction. The rule determines the order in which operations are performed. Simplification is a major topic in SSC CGL Tier 1, IBPS Clerk, SBI Clerk, Railway Group D, and all competitive exams.
Important properties for Simplification: Squares up to 30, Cubes up to 15, Square roots of perfect squares up to 400, Multiplication tables up to 20. Also remember: a squared - b squared = (a+b)(a-b), (a+b) squared = a squared + 2ab + b squared, (a-b) squared = a squared - 2ab + b squared, a cubed + b cubed = (a+b)(a squared - ab + b squared). Memorizing these speeds up simplification in exams.
