Simplify:(i) (√59.29 – √5.29)/ (√59.29 + √5.29)(ii) (√0.23

1.	Simplify:(i) (√59.29 – √5.29)/ (√59.29 + √5.29)(ii) (√0.2304 + √0.1764)/ (√0.2304 – √0.1764)
Answer» (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

Simplify:(i) (√59.29 – √5.29)/ (√59.29 + √5.29)(ii) (√0.2304 + √0.1764)/ (√0.2304 – √0.1764)

Answer»

(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