Question

1. Fill ups :
a) √5 × √3 × √3 = ____
b) 3√2 + 5√2 - √2 = _____
c) 8√14 ÷ 2√7 = ____
d) (√5 - √3)(√5 + √3) = _____
2. Solve the following sums.
a) (2√3 + 3√5) + (5√3 - 2 √3)
b) (7√5 - 3√6) - (4√5 + 7√6)
c) √3(√5 + √3) - √2(√3 - √2)
3. Expand the following. (Use Algebraic Identity)
a) (√5 + √3)(√5 + √3)
b) (√7 - √3)(√7 - √3)
c) (√6 - √3)(√6 + √3)​

Answer 1

Step-by-step explanation:

1) a.] 3√5

b.] 7√2

c.] 2 .....using (a-b)(a+b) =a^2 -b^2

d.]2 .....using (a-b)(a+b) =a^2 -b^2

2)

a.] 5√3+3√5

b.]3√5-10√6

c.]3+√15+2-√6= 5+√15-√6

3)

a.]8+√30