Rationalize the denominator.

i. ii.

iii. iv.

v.

Show that 5 + √7 is an irrational number.

Write the following surds in simplest form.

i. ii.

Write the simplest form of rationalizing factor for the given surds.

i. √32 ii. √50

iii. √27 iv. 3/5√10

v. 3√72 vi. 4√11

Simplify.

i.

ii.

iii.

iv.

v.