\u221a25 and \u221a225 by Factorisation Method
\u221a25:
Step 1: Factorise 25
25 = 5 \u00d7 5<\/p>\n\n\n\n
Step 2: Group identical pairs
(5 \u00d7 5) \u2192 one pair of 5s<\/p>\n\n\n\n
Step 3: Take one number from the pair
\u221a25 = 5<\/p>\n\n\n\n
\u221a225:
Step 1: Factorise 225
Start by dividing with the smallest prime numbers
225 \u00f7 3 = 75
75 \u00f7 3 = 25
25 \u00f7 5 = 5
5 \u00f7 5 = 1<\/p>\n\n\n\n
So, 225 = 3 \u00d7 3 \u00d7 5 \u00d7 5<\/p>\n\n\n\n
Step 2: Group identical pairs
(3 \u00d7 3) and (5 \u00d7 5)<\/p>\n\n\n\n
Step 3: Take one number from each pair
\u221a225 = 3 \u00d7 5 = 15<\/p>\n\n\n\n
Explanation (Approx. 300 Words)
The factorisation method of finding square roots involves expressing a number as a product of its prime factors and then using those factors to find the square root. This method works well for perfect squares, which are numbers that have exact square roots.<\/p>\n\n\n\n
For example, 25 is a perfect square because it can be written as 5 multiplied by 5. After breaking it down into prime factors, there is only one pair of 5s. Since the square root of a number is a value that, when multiplied by itself, gives the original number, taking one number from the pair gives the square root. Therefore, \u221a25 equals 5.<\/p>\n\n\n\n
For 225, the process starts with prime factorisation. The smallest prime that divides 225 is 3. Dividing successively gives two 3s. The remaining number, 25, is divided further by 5 to give two 5s. So, 225 is written as 3 \u00d7 3 \u00d7 5 \u00d7 5. Here, there are two pairs: one of 3s and one of 5s. Taking one number from each pair and multiplying them gives the square root. That is 3 \u00d7 5, which equals 15. So, \u221a225 is 15.<\/p>\n\n\n\n
This method is useful because it avoids the use of decimals or guesswork. It is especially effective for numbers that are known or suspected to be perfect squares. For non-perfect squares, other methods like the division method or approximation are preferred.<\/p>\n\n\n\n Find the square root by factorisation method in 25 and 225 The Correct Answer and Explanation is: \u221a25 and \u221a225 by Factorisation Method\u221a25:Step 1: Factorise 2525 = 5 \u00d7 5 Step 2: Group identical pairs(5 \u00d7 5) \u2192 one pair of 5s Step 3: Take one number from the pair\u221a25 = 5 \u221a225:Step 1: Factorise […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-28926","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28926","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=28926"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28926\/revisions"}],"predecessor-version":[{"id":28930,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28926\/revisions\/28930"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28926"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28926"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28926"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-275.jpeg\")
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