Question

Prove that square root of 5 times 5^{3/2}=25

Answer 1

Try to use exponents product rules:

\(\Huge a^m\cdot a^n=a^{m+n}\)

Answer 2

\[\large
\sqrt{5} \times 5^{3/2} = 5^{1/2} \times 5^{3/2} = 5^{3/2 + 1/2} = 5^{2} = 25
\]

Answer 3

thanks guys

Answer 4

yw.