Question

Simplify : (√3-√5)^2​

Answer 1

Step-by-step explanation:

the answer will be 3+5-2 root3root5

8-2root15

Answer 2

The value of  $(\sqrt{3}-\sqrt{5} )^{2}$ is $8-2\sqrt{15}$.

Step-by-step explanation:

Given:

$(\sqrt{3}-\sqrt{5} )^{2}$.

To Find:

The value of $(\sqrt{3}-\sqrt{5} )^{2}$ is $8-2\sqrt{15}$.

Formula Used:

$(p-q)^{2} =p^{2} +q^{2} -2pq$   -------- formula no.01.

Solution:

$(\sqrt{3}-\sqrt{5} )^{2}$

Applying formula no.01.

$=(\sqrt{3} )^{2} +(\sqrt{5} )^{2} -2\times\sqrt{3} \times\sqrt{5}$

$=3+5-2\sqrt{3\times5}$

$=8-2\sqrt{15}$

Thus,the value of $(\sqrt{3}-\sqrt{5} )^{2}$ is $8-2\sqrt{15}$.

PROJECT CODE #SPJ2