Home
Class 9
MATHS
Write the reciprocal of 5+\ sqrt(2)...

Write the reciprocal of `5+\ sqrt(2)`

Text Solution

Verified by Experts

The reciprocal of `5+\ sqrt(2)` is
`1/(5+\ sqrt(2))`
Multiply and divide it by `5-\ sqrt(2)`,we get
`(5-\ sqrt(2))/((5+\ sqrt(2))\(5-\ sqrt(2))`
`=(5-\ sqrt(2))/((5)^2-(sqrt2)^2)`
`=(5-\ sqrt(2))/(25-4)`
`=(5-\ sqrt(2))/21`
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    RD SHARMA|Exercise All Questions|251 Videos

  • SURFACE AREA AND VOLUME OF A CUBOID AND CUBE

    RD SHARMA|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

Reciprocal of 5/9 is

Find the reciprocal of -2

The reciprocal of 1/2 is

Reciprocal of 2 is

The reciprocal of 1 2/3 is

Write the reciprocal of: ( i ) (frac(2)(3))^(4) ( ii ) (frac(-3)(5))^(61) ( iii ) 2^(5) ( iv ) (-5)^(6)

What is the reciprocal of 5/3

Find the reciprocal of : (i) 7+sqrt(7)i (ii) i-5 .

Reciprocal of 2 3/5

Reciprocal of 1 3/5