Surds and Indices

Rumman Ansari Software Engineer 2024-07-28 08:50:29 227 Share
Subject Syllabus Details Subject Details

☰ TContent

☰Fullscreen

Table of Content:

Surds and Indices Formulas

\sqrt[n]{a} is a surd if a is not a perfect nth power.

\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}

\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}

a \sqrt{b} + c \sqrt{b} = (a + c) \sqrt{b}

a \sqrt{b} - c \sqrt{b} = (a - c) \sqrt{b}

a^{m} \times a^{n} = a^{m + n}

\frac{a^{m}}{a^{n}} = a^{m - n}

(a^{m})^{n} = a^{m n}

(a b)^{n} = a^{n} \times b^{n}

{(\frac{a}{b})}^{n} = \frac{a^{n}}{b^{n}}

a^{0} = 1 (where a \neq 0)

a^{- n} = \frac{1}{a^{n}}

a^{\frac{m}{n}} = \sqrt[n]{a^{m}}

There are 1 MCQs available for this topic.

1 MCQ

No Questions Data Available.

No Program Data.