Question

Simplify:

(i) (√59.29 – √5.29)/ (√59.29 + √5.29)

(ii) (√0.2304 + √0.1764)/ (√0.2304 – √0.1764)

Answer 1

(i) (√59.29 – √5.29)/ (√59.29 + √5.29)

= √59.29 

= √5929/ √100

= 77/10

= 7.7

Now, √5.29 

= √5.29/ √100

= 23/10

= 2.3

So, (7.7 – 2.3)/ (7.7 + 2.3)

= 54/10

= 0.54

(ii) (√0.2304 + √0.1764)/ (√0.2304 – √0.1764)

  = √0.2304 

= √2304/ √10000

= 48/100

= 0.48

Now, √0.1764 

= √1764/ √10000

= 42/100

= 0.42

So, (0.48 + 0.42)/ (0.48 – 0.42)

= 0.9/0.06

= 15