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Sagot :
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].
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].
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