Answer :

Sure! Let's break down the given expression step by step:

The expression we need to solve is: [tex]\(\sqrt{90} + 2^4 - 6 + 5 + 3 - 5^2\)[/tex]

1. Calculate [tex]\(\sqrt{90}\)[/tex]:
[tex]\[ \sqrt{90} \approx 9.486832980505138 \][/tex]

2. Calculate [tex]\(2^4\)[/tex]:
[tex]\[ 2^4 = 16 \][/tex]

3. The subtraction [tex]\( -6 \)[/tex]:
[tex]\[ -6 \][/tex]

4. The addition [tex]\( +5 \)[/tex]:
[tex]\[ 5 \][/tex]

5. The addition [tex]\( +3 \)[/tex]:
[tex]\[ 3 \][/tex]

6. Calculate [tex]\(5^2\)[/tex]:
[tex]\[ 5^2 = 25 \][/tex]
Then the subtraction [tex]\(-25\)[/tex]:
[tex]\[ -25 \][/tex]

Now, we combine all these results together:

[tex]\[ \sqrt{90} + 2^4 - 6 + 5 + 3 - 5^2 \approx 9.486832980505138 + 16 - 6 + 5 + 3 - 25 \][/tex]

Let's perform the arithmetic step by step:

[tex]\[ = 9.486832980505138 + 16 \][/tex]
[tex]\[ = 25.486832980505138 \][/tex]
[tex]\[ = 25.486832980505138 - 6 \][/tex]
[tex]\[ = 19.486832980505138 \][/tex]
[tex]\[ = 19.486832980505138 + 5 \][/tex]
[tex]\[ = 24.486832980505138 \][/tex]
[tex]\[ = 24.486832980505138 + 3 \][/tex]
[tex]\[ = 27.486832980505138 \][/tex]
[tex]\[ = 27.486832980505138 - 25 \][/tex]
[tex]\[ = 2.486832980505138 \][/tex]

So, the value of [tex]\(\sqrt{90} + 2^4 - 6 + 5 + 3 - 5^2\)[/tex] is approximately [tex]\(2.486832980505138\)[/tex].

Other Questions