Question

find square root of following with explanation:5⁴×4³​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge\bold{\mathbb{QUESTION}}$

Find square root of following with explanation:

$5^4\times 4^3$

$\huge\bold{\mathbb{TO\:FIND}}$

The square root.

$\huge\bold{\mathbb{SOLUTION}}$

$\sqrt {(5^4\times 4^3)}$

$=\sqrt{\{(5\times5\times5\times5)\times(4\times4\times4)\}}$

$=\sqrt{(625\times64)}$

$=\sqrt{40000}$

Since $40000=(200\times200),$

$\therefore \sqrt{40000}$

$=\sqrt{(200\times200)}$

$=200$

$\huge\bold{\mathbb{HENCE}}$

$\sqrt {(5^4\times 4^3)}=200$

$\huge\bold{\mathbb{THEREFORE}}$

The square root of $5^4\times 4^3$ is $200.$

$\huge\bold{\mathbb{DONE\:\,!!}}$