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Back to Square Roots by Prime Factorisation — Problem 2 · Task Set 13

Exercises: Square Roots by Prime Factorisation

Work through each section in order. Use prime factorisation and the pairing method to find square roots, and verify each answer by squaring it.

Grade 7·17 problems·~28 min·Uganda NCDC Primary 7 Mathematics·lesson·operations-05
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Fluency Practice

Prime factors 2, 2, 3, 3, 5, 5 with each identical pair circled, one factor taken from each pair, multiplied to give 30
1.

Find 900\sqrt{900} by prime factorisation. (900=22×32×52900 = 2^2 \times 3^2 \times 5^2.)