{"id":450,"date":"2025-01-08T15:42:52","date_gmt":"2025-01-08T10:12:52","guid":{"rendered":"https:\/\/samacheerkalvi.guide\/?p=450"},"modified":"2025-01-09T10:11:43","modified_gmt":"2025-01-09T04:41:43","slug":"samacheer-kalvi-10th-maths-guide-chapter-3-ex-3-8","status":"publish","type":"post","link":"https:\/\/samacheerkalvi.guide\/samacheer-kalvi-10th-maths-guide-chapter-3-ex-3-8\/","title":{"rendered":"Samacheer Kalvi 10th Maths Guide Chapter 3 Algebra Ex 3.8"},"content":{"rendered":"

Students can download Maths Chapter 3 Algebra Ex 3.8 Questions and Answers, Notes, Samacheer Kalvi 10th Maths Guide<\/a> Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.<\/p>\n

Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.8<\/h2>\n

Question 1.
\nFind the square root of the following polynomials by division method
\n(i) x4<\/sup> – 12x3<\/sup> + 42x2<\/sup>\u00a0– 36x + 9
\nAnswer:
\n\"Samacheer
\n\"Samacheer<\/p>\n

(ii) 31 x2<\/sup> – 28x3<\/sup> + 4x4<\/sup> + 42x + 9
\nAnswer:
\nRearrange the order we get
\n4x4<\/sup> – 28x3<\/sup> + 37x2<\/sup> + 42x + 9
\n\"Samacheer
\n\"Samacheer<\/p>\n

(iii) 16x4<\/sup> + 8x2<\/sup> + 1
\nAnswer:
\n\"Samacheer
\n\"Samacheer<\/p>\n

(iv) 121 x4<\/sup> – 198x3<\/sup> – 183x2<\/sup> + 216x + 144
\nAnswer:
\n\"Samacheer
\n\"Samacheer<\/p>\n

Question 2.
\nFind the square root of the expression
\n\\(\\frac{x^{2}}{y^{2}}\\) – \\(\\frac { 10x }{ y } \\) + 27 – \\(\\frac { 10y }{ x } \\) + \\(\\frac{y^{2}}{x^{2}}\\)
\nAnswer:
\n\"Samacheer
\n\"Samacheer<\/p>\n

Question 3.
\nFind the values of a and b if the following polynomials are perfect squares.
\n(i) 4x4<\/sup> – 12x3<\/sup> + 37x2<\/sup> + bx + a
\nAnswer:
\n\"Samacheer
\nSince it is a perfect square
\nb + 42 = 0
\nb = – 42
\na – 49 = 0
\na = 49
\n\u2234 The value of a = 49 and b = – 42<\/p>\n

(ii) ax4<\/sup> + bx3<\/sup> + 361x2<\/sup> + 220x + 100
\nAnswer:
\nRe-arrange the order we get
\n100 + 220x + 361x2<\/sup> + bx3<\/sup> + ax4<\/sup>
\n\"Samacheer
\nSince it is a perfect square
\nb – 264 = 0
\nb = 264
\na – 144 = 0
\na = 144
\n\u2234 The value of a = 144 and b = 264<\/p>\n

\"Samacheer<\/p>\n

Question 4.
\nFind the values of m and n if the following expressions are perfect sqaures.
\n(i) \\(\\frac{1}{x^{4}}\\) – \\(\\frac{6}{x^{3}}\\) + \\(\\frac{13}{x^{2}}\\) + \\(\\frac { m }{ x } \\) + n
\nAnswer:
\n\"Samacheer
\nSince it is a perfect square
\n\\(\\frac { 1 }{ x } \\) (m + 12) = 0
\nm + 12 = 0
\nm = -12
\nn – 4 = 0
\nn = 4
\n\u2234 The value of m = -12 and n = 4<\/p>\n

\"Samacheer<\/p>\n

(ii) x4<\/sup> – 8x3<\/sup> + mx2<\/sup> + nx + 16
\nAnswer:
\n\"Samacheer
\nSince it is a perfect square
\nm – 16 – 8 = 0
\nm – 24 = 0
\nm = 24
\nn + 32 = 0
\nn = -32
\n\u2234 The value of m = 24 and n = -32<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can download Maths Chapter 3 Algebra Ex 3.8 Questions and Answers, Notes, Samacheer Kalvi 10th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams. Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 3 Algebra Ex 3.8 Question …<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[2],"tags":[],"class_list":["post-450","post","type-post","status-publish","format-standard","hentry","category-class-10"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts\/450"}],"collection":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/comments?post=450"}],"version-history":[{"count":1,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts\/450\/revisions"}],"predecessor-version":[{"id":39831,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts\/450\/revisions\/39831"}],"wp:attachment":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/media?parent=450"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/categories?post=450"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/tags?post=450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}