Question

Two square roots for 25/4

Answer 1

`\large\boxed{\pm(5)/(2)=\pm2.5}`

Explanation:

`√(a)=b\iff b^2=a\\\\\pm\sqrt(25)/(4)}\qquad\text{use}\ \sqrt{(a)/(b)}=(√(a))/(√(b))\\\\=\pm(√(25))/(√(4))=\pm(5)/(2)=\pm2.5\\\\\text{because}\\\\\left((5)/(2)\right)^2=(25)/(4)\ \text{and}\ \left(-(5)/(2)\right)^2=(25)/(4)`