Question

Simplify : (5+√3)(√5-√3)

Answer 1

( 5 + √3) (√5 -√3)

= 5 ( √5 - √3)  + √3 ( √5 - √3 )

= 5√5 - 5√3 + √15 - ( √3× √3)= 3

= 5√5 - 5√3 + √15-3

ANS:-5√5 - 5√3 + √15-3

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Answer 2

$(5+\sqrt{3})(\sqrt{5}-\sqrt{3})=5\sqrt{5}-5\sqrt{3}+\sqrt{15}-3$

Step-by-step explanation:

Here, $(5+\sqrt{3})(\sqrt{5}-\sqrt{3})$

• Tips. We use the distribution property of multiplication over addition and subtraction.

$=5(\sqrt{5}-\sqrt{3})+\sqrt{3}(\sqrt{5}-\sqrt{3})$

$=5\sqrt{5}-5\sqrt{3}+\sqrt{3}\sqrt{5}-\sqrt{3}\sqrt{3}$

$=5\sqrt{5}-5\sqrt{3}+\sqrt{15}-3$

• Tips. Since $\sqrt{a}\sqrt{a}=a$

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