Question

Prove by factorization √16×81=√16×√81

Answer 1

√16×81 = 4×9 or √1296 = 36

√16×√81 = 4×9 = 36

Explanation:

√81×16

We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).

√81 = √3×3×3×3 = √9×9 = √9² = 9

√16 = √2×2×2×2 = √4×4 = √4² = 4