Solve (Square Root of 25 minus 2²)³ plus 2³: Complete Calculation

Question

Calculate and indicate the answer:

(2522)3+23 (\sqrt{25}-2^2)^3+2^3

Video Solution

Solution Steps

00:00 Solve
00:03 Let's calculate the root
00:06 Let's calculate the powers to solve the parentheses
00:09 A power is actually the number multiplied by itself according to the exponent
00:13 Let's calculate the powers and then substitute in our exercise
00:22 Always solve parentheses first
00:25 1 raised to any power is always equal to 1
00:32 And this is the solution to the question

Step-by-Step Solution

Previously mentioned in the order of operations that exponents come before multiplication and division which come before addition and subtraction (and parentheses always come before everything),

Let's calculate first the value of the expression inside the parentheses (by calculating the values of the terms with exponents and roots inside the parentheses first) :(2522)3+23=(54)3+23=13+23 (\sqrt{25}-2^2)^3+2^3= (5-4)^3+2^3=1^3+2^3 where in the second stage we simplified the expression in parentheses,

Next we'll calculate the values of the terms with exponents and perform the addition operation:

13+23=1+8=9 1^3+2^3=1+8=9 Therefore the correct answer is answer A.

Answer

9