Question

Find the square of :

(i)3√5/5
(ii) √3+√2
(iii) V5 - 2
(iv) 3 + 2√5​

Answer 1

Step-by-step explanation:

1 part

(3√5/5)² = (45/25)= 9/5

2 part

(√3+√2)² = (√3)²+(√2)²+2(√3)(√2)

= 3+2+2√6=5+2√6

3 part

(√5-2)² = (√5)² + 2² - 2 (√5)(2)

= 5+4-4√5= 9-4√5

4 part

(3+2√5)² = 3² + (2√5)² + 2 (3)(2√5)

= 9 + 20 + 6×2√5

= 29+12√5