(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

If x = 5 - 2√6, find `x^2 + 1/x^2`

Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`

If `[ 2 + sqrt5 ]/[ 2 - sqrt5] = x and  [2 - sqrt5 ]/[ 2 + sqrt5] = y`; find the value of x² - y².

Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

Factorise:

a³ - 27

Factorise : 1 - 8a³

Factorise : 64 - a³b³

Factorise : a⁶ + 27b³

Factorise : 3x⁷y - 81x⁴y⁴

Factorise : a³ - `27/a^3`

Factorise : a³ + 0.064

Factorise : a³ + 0.064

Factorise : a³ + 0.064

Factorise : a³ + 0.064

Factorise: (x - y)³ - 8x³

Factorise:

a⁴ - 343a

Factorise:

`(8"a"^3)/27 - "b"^3/8`

Factorise:

a⁶ – b⁶