Question

Solve
Whole Sqrt of ( 28 - 10 sqrt 3 )

Answer 1

if it just simplifying form, you can use the formula :
sqrt{(a+b) + 2sqrt(a*b)} = sqrt(a) + sqrt(b)
with a > b

so,
Sqrt ( 28 - 10 sqrt(3) )
= sqrt of ( 28 - 2 * 5 sqrt(3) )
= sqrt of ( 28 - 2 * sqrt(25) * sqrt(3) )
= sqrt of ( 28 - 2 * sqrt (25 * 3 ))
= sqrt of ( (25+3) - 2 * sqrt (25 * 3)
= sqrt(25) + sqrt(3)
= 5 + sqrt(3)