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√500 simplify the radical expression

User AllDayer
by
4.0k points

1 Answer

5 votes

Answer:

=10√5 or 22.36068 as a decimal

the ^ is to the power of

Explanation:

2^2 x 5^3

=
\sqrt{2^(2) 5^(3) } (you don't need the x it just did not let me put it in otherwise)

apply the exponent rule 2^2 x 5^3= 5^2 x 5 = √2^2x5^2x5

√2^2x5^2x5= √2^2 √5^2 √5= √2^2√5^2√5

next, apply the radical rule

√2^2=2 =2√5^2 √5

√5^2=5 = 2x5√5

=10√5 which is also 22.36068 as a decimal

User Filiprem
by
2.6k points