Question

5. Simplify *

(√5-√I) (√7 + √1)​

Answer 1

7+3
5
​
)/(7–3
5
​
)
Let us rationalize the denominator, we get
(7+3
5
​
)/(7–3
5
​
)=[(7+3
5
​
)(7+3
5
​
)]/[(7–3
5
​
)(7+3
5
​
)]
=[(7+3
5
​
)2]/[72–(3
5
​
)2]
=[72+(3
5
​
)2+2.7.3
5
​
]/[49–9.5]
=[49+9.5+42
5
​
]/[49–45]
=[49+45+42
5
​
]/[4]
=[94+42
5
​
]/4
=2[47+21
5
​
]/4
=[47+21
5

Answer 2

Step-by-step explanation:

$\sqrt{35}+\sqrt{5}-\sqrt{7}-1$