math 9th Exercise 2.3 (Solutions)

Exercise 2.3 (Solutions)

Question 1

Write each radical expression in exponential notation and each exponential expression in radical notation, Do not simplify.

§  (i) −64−−−−√3 *(ii) 235

§  (iii) −713 * (iv) y−23

Solution

* (i) −64−−−−√3=−6413 ( Exponential form)

* (ii) 235=2√53 (Radical form)

* (iii) −713=−7√3 (Radical form)

* (iv) y−23=y√3−2 (Radical form)

Question 2

Tell whether the following statements are true or false
* (i) 515=5√
* (ii) 223=4√3
* (iii) 49−−√=7√
* (iv) x√327=x3

Solution

§  (i) False

§  (ii) True

§  (iii) False

§  (iv) False

Question 3

Simplify the following radical expression

§  (i) −125−−−−√3

§  (ii) 32−−√4

§  (iii) 332−−√5

§  (iv) −827−−√3

Soluton

(i)

−125−−−−√3=−53−−−−√3=−53×13=−5

(ii)

32−−√4=25−−√4=(24×2)14=(24)14)×2√4=22√4

(iii)

332−−√5=(325)15=3√52