Which pairing of number and its square root is INCORRECT?
Class 8Squares and Square RootsSquares and Roots
A625=24
B144=12
C256=16
D324=18
Step-by-Step Solution
122=144,162=256,182=324 are all correct. But 242=576, not 625; 625=25. So '625=24' is incorrect.
Answer: A) 625=24
Key idea: Square root by prime factorisation
**Step 1**: factorise the number into primes. **Step 2**: pair up identical factors. **Step 3**: from each pair, take ONE factor — the product is the square root.
Example: 324. Factorise: 324=22×34=(2×3×3)2. So 324=2×3×3=18.
Example: 576. Factorise: 576=26×32=(23×3)2. So 576=8×3=24.
If any prime appears an odd number of times, the number isn't a perfect square — and you'd need to multiply (or divide) by that prime to make it one.
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