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India
Class X

Square and Cube Roots Using Factor trees

Interactive practice questions

Use a factor tree to help find the $\sqrt{196}$196.

a

Write $196$196 as a product of prime factors in index notation.

b

Hence find the $\sqrt{196}$196.

Easy
3min

Consider $\sqrt{225}$225.

Easy
2min

Use a factor tree to help find $\sqrt{30625}$30625.

Easy
4min

Use a factor tree to help find $\sqrt{3969}$3969.

Easy
3min
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Outcomes

10.NS.RN.1

Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. Proofs of results – irrationality of √2,√3,√5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

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