Answered

Get personalized answers to your unique questions on IDNLearn.com. Our community is here to provide detailed and trustworthy answers to any questions you may have.

Type the correct answer in the box. Use numerals instead of words.

Consider this expression:
[tex]\[ \sqrt{a^3-7}+|b| \][/tex]

When [tex]\( a=2 \)[/tex] and [tex]\( b=-4 \)[/tex], the value of the expression is [tex]\(\square\)[/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the given expression step by step:

Given the expression:
[tex]\[ \sqrt{a^3 - 7} + |b| \][/tex]

where [tex]\( a = 2 \)[/tex] and [tex]\( b = -4 \)[/tex].

1. Calculate [tex]\( a^3 \)[/tex]:

[tex]\[ a^3 = 2^3 = 8 \][/tex]

2. Substitute [tex]\( a^3 \)[/tex] into the expression:

[tex]\[ a^3 - 7 = 8 - 7 = 1 \][/tex]

3. Calculate the square root:

[tex]\[ \sqrt{1} = 1.0 \][/tex]

4. Calculate the absolute value of [tex]\( b \)[/tex]:

[tex]\[ |b| = |-4| = 4 \][/tex]

5. Add the results together:

[tex]\[ \sqrt{1} + |b| = 1.0 + 4 = 5.0 \][/tex]

Therefore, when [tex]\( a = 2 \)[/tex] and [tex]\( b = -4 \)[/tex], the value of the expression is [tex]\( \boxed{5.0} \)[/tex].
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.