Exercise :- 2.3
1.) Write down the index and radicand for each of the following expressions
![\begin{gathered}i) \: \sqrt{ \frac{11}{y}}\\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ii) \sqrt[3] \frac{13}{3x} \\\\iii) \sqrt[5]{ {ab}^{2} } \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7Di%29+%5C%3A+%5Csqrt%7B+%5Cfrac%7B11%7D%7By%7D%7D%5C%5C%5C+%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+ii%29+%5Csqrt%5B3%5D+%5Cfrac%7B13%7D%7B3x%7D+%5C%5C%5C%5Ciii%29+%5Csqrt%5B5%5D%7B+%7Bab%7D%5E%7B2%7D+%7D+%5Cend%7Bgathered%7D+ "\begin{gathered}i) \: \sqrt{ \frac{11}{y}}\\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ii) \sqrt[3] \frac{13}{3x} \\\\iii) \sqrt[5]{ {ab}^{2} } \end{gathered}")
Transform the following radical forms into exponential forms. Donot simplify.
![\ \textless \ br /\ \textgreater \ \begin{gathered}(i) \sqrt{36} \: \: \: \: \: \: \: (ii) \sqrt{1000} \: \: \: \: (iii)\sqrt[3]{8} \: \: \: \: \\ ( iv) \sqrt[n]{q} \: \: \: \: \ (v)\sqrt{(5 - 6 {a}^{2} } ){3} \ \\ \\ (vi) \sqrt[3]{ - 64} \end{gathered}](https://tex.z-dn.net/?f=%5C++%5Ctextless+%5C+br+%2F%5C++%5Ctextgreater+%5C+%5Cbegin%7Bgathered%7D%28i%29+%5Csqrt%7B36%7D+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%28ii%29+%5Csqrt%7B1000%7D+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%28iii%29%5Csqrt%5B3%5D%7B8%7D+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%5C+%28+iv%29+%5Csqrt%5Bn%5D%7Bq%7D+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C+%28v%29%5Csqrt%7B%285+-+6+%7Ba%7D%5E%7B2%7D+%7D+%29%7B3%7D+%5C+%5C%5C+%5C%5C+%28vi%29+%5Csqrt%5B3%5D%7B+-+64%7D+%5Cend%7Bgathered%7D+ "\ \textless \ br /\ \textgreater \ \begin{gathered}(i) \sqrt{36} \: \: \: \: \: \: \: (ii) \sqrt{1000} \: \: \: \: (iii)\sqrt[3]{8} \: \: \: \: \\ ( iv) \sqrt[n]{q} \: \: \: \: \ (v)\sqrt{(5 - 6 {a}^{2} } ){3} \ \\ \\ (vi) \sqrt[3]{ - 64} \end{gathered}")
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Answer:
1 (i) ½ and 11/x
(ii) 3/2 and 13/3x
(iii) 5/2 and ab²
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Answer: I am FINE ❤️❤️❤️ UUU
1) Rewrite the expression using √ab=√a.√b:
√11/√y
Rationalise the denominator :√11.√y/√y.√y
Simplify the radical expression : √11.√y/y
Rewrite the expression using √a.√b=√ab:
√11y/y
√11/y
2) Multiply the fraction by an expression to form a perfect square in the denominator: √13×3x/3x×3x
Multiply the monomials: √39x/9x²
Rewrite the expression using : √ab=√a.√b:√39x/√9x²
Factor and rewrite the radicand in exponential form: √39x/√3²×x²
Rewrite the expression using : √ab=√a.√b:√39x/√3²×√x²
Simplify the radical expression: √39x/3x,x>0
Answer:
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