Question

Type the correct answer in the box. Use numerals instead of words. Consider this expression. Vas – 7+ 161 When a = 2 and b = -4, the value of the expression is​

Answer 1

Correct Question:

Type the correct answer in the box. Use numerals instead of words. Consider this expression.
`√(a^2) - 7 + |b|` When a = 2 and b = -4, the value of the expression is​

Answer:

`√(a^2) - 7 + |b| = -1`

Explanation:

Given

`a=2`

`b = -4`

Required

Determine
`√(a^2) - 7 + |b|`

To solve this, we simply substitute the values of a in the given expression

`√(a^2) - 7 + |b|`

`√(a^2) - 7 + |b| = √(2^2) - 7 + |-4|`

Express 2² as 4

`√(a^2) - 7 + |b| = √(4) - 7 + |-4|`

Express square root of 4 as 2

`√(a^2) - 7 + |b| = 2 - 7 + |-4|`

`|-4| = 4`

So, we have

`√(a^2) - 7 + |b| = 2 - 7 + 4`

`√(a^2) - 7 + |b| = -1`

Hence, the result of the expression is -1