# Find the Value of Sqrt5 Correct to 2 Decimal Places; Then Use It to Find the Square Root of Sqrt((3-sqrt(5))/(3+Sqrt(5) Correct to 2 Significant Digits. - Mathematics

Sum

Find the value of sqrt5 correct to 2 decimal places; then use it to find the square root of sqrt((3-sqrt(5))/(3+sqrt(5) correct to 2 significant digits.

#### Solution

sqrt(5) = 2.236 = 2.24

 2.236 2 5 42 10084 443 1.60013e+07 4466 2.71003e+09 304

sqrt((3-sqrt(5))/(3+sqrt(5)

= sqrt(((3-sqrt(5))((3-sqrt(5))))/((3+sqrt(5))(3-sqrt(5))

= sqrt(((3-sqrt(5))^2)/((3)^2 - sqrt((5))^2)

= sqrt((3-sqrt5)^2)/(9-5)

= sqrt((3-sqrt(5)^2)/(4)

= ((3-2.24))/(2)

= ((0.76))/(2)

= 0.38

Concept: Finding Square Root by Division Method
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 3 Squares and Square Root
Exercise 3 (B) | Q 8 | Page 42