Question

$\sqrt{10\times{\sqrt{(2^3)^2}}\times\sqrt{(5^3)^2}}=$

• A. 10
• B. 90
• C. 100
• D. 1000

Answer 1

Answer:

C. 100

$\sqrt{10\times{\sqrt{(2^3)^2}}\times\sqrt{(5^3)^2}}$

$= \sqrt{10\times{\sqrt{(2^6)}}\times\sqrt{(5^6)}}$

$=\sqrt{10\times{(2^6)^{1/2}}\times{(5^6)^{1/2}}}$

$=\sqrt{10\times{(2^3)}\times{(5^3)}}$

$=\sqrt{10\times8\times125}$

$=\sqrt{10000}$

$=100$