Question

the number (√5+√3)^2 is a/an​

Answer 1

Answer:

irrational number

Step-by-step explanation:

here is your answer

Answer 2

$\huge \red{ \underline{ \mathfrak{irrational \: number}}}$

$\implies{ \mathtt{expanding \: using \: identity}} \\ \\ {( \sqrt{5} + \sqrt{3} ) }^{2} \\ \implies {( \sqrt{5}) }^{2} + {( \sqrt{3}) }^{2} + 2( \sqrt{5} )( \sqrt{3} ) \\ \implies5 + 3 + 2 \sqrt{15} \\ \implies8 + 2 \sqrt{15}$

We know that multiplying a rational and irrational number always gives irrational number.

$\longmapsto{\mathtt{ Hence\: 2\sqrt{15}\: is\: irrationa}}l$

We also know that adding a rational and irrational number gives irrational number.

$\longmapsto{\mathtt{ 8 + 2\sqrt{15}\: is \: irrational\: }}$

HopE it helps you ✨