Question

√5-√2/√5+√2
Rationalize the following

Answer 1

Answer:

7-2√10/3

Step-by-step explanation:

(√5-√2)(√5-√2)/(√5+√2)(√5-√2)

(√5-√2)²/(√5)²-(√2)²

5+2-2√10/5-2

7-2√10/3

Answer 2

Answer:

√5-√2/√5+√2*√5-√2/√5-√2

(√5-√2)(√5-√2)/(√5)(√5)-(√2)(√2)

(√5)(√5)-2(√5)(√5)+(√2)(√2)/5-2

5-2√10+2/3

=7-2√10/3