Surdan
'S e freumh ceà rnagach nach gabh a thoirt sìos gu à ireamh raiseanail a th' ann an surd.
Mar eisimpleir, chan e surd a th' ann an \(\sqrt 4 = 2\).
Ach 's e surd a th' ann an \(\sqrt 5\).
Ma chleachdas tu à ireamhair, chì thu gu bheil \(\sqrt 5 = 2.236067977...\) agus feumaidh sinn am freagairt a chruinneachadh gu beagan ionadan deicheach. Tha seo a' ciallachadh nach eil e cho mionaideach.
Ma thèid fhà gail mar \(\sqrt 5\), chan eil am freagairt air a chruinneachadh agus tha sin ga chumail mionaideach.
Seo beagan riaghailtean coitcheann airson a bhith a' sìmpleachadh abairtean sa bheil surdan.
\(\sqrt a \times \sqrt a = a\)
\(\sqrt {ab} = \sqrt a \times \sqrt b\)
\(\sqrt {\frac{a}{b}} = \frac{{\sqrt a }}{{\sqrt b }}\)
Cleachd a-nis am fiosrachadh gu h-à rd agus feuch na ceistean gu h-ìosal.
Question
Sìmplich \(\sqrt {12}\)
\(= \sqrt {4 \times 3}\)
\(= \sqrt 4 \times \sqrt 3\)
\(= 2\sqrt 3\)
Question
Sìmplich \(\sqrt {48}\)
\(= \sqrt {16} \times \sqrt 3\)
\(= 4\sqrt3\)
Question
Sìmplich \(\sqrt {\frac{{16}}{9}}\)
\(= \frac{{\sqrt {16} }}{{\sqrt 9 }}\)
\(= \frac{4}{3}\)
Question
Sìmplich \(\sqrt 8 + \sqrt {18} + \sqrt {50}\)
\(= \sqrt4 \sqrt 2 + \sqrt9 \sqrt 2 + \sqrt25 \sqrt 2\)
\(= 2\sqrt 2 + 3\sqrt 2 + 5\sqrt 2\)
\(= 10\sqrt 2\)