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. $\sqrt{a^2} - 7 + |b|$ When a = 2 and b = -4, the value of the expression is​

Answer:

$\sqrt{a^2} - 7 + |b| = -1$

Step-by-step explanation:

Given

$a=2$

$b = -4$

Required

Determine $\sqrt{a^2} - 7 + |b|$

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

$\sqrt{a^2} - 7 + |b|$

$\sqrt{a^2} - 7 + |b| = \sqrt{2^2} - 7 + |-4|$

Express 2² as 4

$\sqrt{a^2} - 7 + |b| = \sqrt{4} - 7 + |-4|$

Express square root of 4 as 2

$\sqrt{a^2} - 7 + |b| = 2 - 7 + |-4|$

$|-4| = 4$

So, we have

$\sqrt{a^2} - 7 + |b| = 2 - 7 + 4$

$\sqrt{a^2} - 7 + |b| = -1$

Hence, the result of the expression is -1