Question

$\sqrt[2]{75}$
find the value? ​

Answer 1

If you mean tan(75/2), then

sin215 = (1+cos30)/2 = (2-√3)/4

cos215 = (1-cos30)/2 = (2+√3)/4

sin75 = cos15

cos75 = sin15

tan 75/2 = (1-cos75)/sin75

(1 - √(2-√3)/4)/√((2+√3)/4)

(2 - √(2 - √3))/√(2 + √3)

0.7673

Answer 2

$\sqrt[2]{75}$

$= (75) {}^{ \frac{1}{2} }$

$(25 \times 3) {}^{ \frac{1}{2} }$

we know that

$(a \times b) {}^{n} = a {}^{n} \times b {}^{n}$

then ,

$\sqrt[2]{75} = (25) {}^{ \frac{1}{2} } \times (3) \frac{1}{2}$

$= 5 \times \sqrt{3}$

and we know √3= 1.73

then,

$\sqrt[2]{75} = 5 \times 1.73$

$= 5 \times 1.7 3$

$= 8.66$

⏩I hope it help you ❤️