Option A. 5/8 is the correct answer.
Step-by-step explanation:
Square root by factorization will be used to solve this question.
Given
[tex]\sqrt{\frac{25}{64}}[/tex]
The square root can be applied to numerator and denominator separately
[tex]=\frac{\sqrt{25}}{\sqrt{64}}[/tex]
Factorization
[tex]=\frac{\sqrt{5*5}}{\sqrt{2*2*2*2*2*2}}\\=\frac{\sqrt{5^2}}{\sqrt{2^2*2^2*2^2}}\\=\frac{5}{2*2*2}\\=\frac{5}{8}[/tex]
Hence,
Option A. 5/8 is the correct answer.
Keywords: Square roots, factorization
Learn more about square root at:
- brainly.com/question/10364988
- brainly.com/question/10435816
#LearnwithBrainly
