Level 1 Operation: Deceiving Value

Algebra Level 1

If a= 2 34 34 + 9 2^{34-34}+9 and b=a, what is the value of C in the equation below given that d= a b \frac {a}{b}

C= a b d \frac{\sqrt{ab}}{d}


The answer is 10.

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11 solutions

Prasun Biswas
Mar 24, 2014

We know that any number a a to the power 0 0 is equal to 1 1 , i.e., a 0 = 1 a^0=1 .

Now, it is said that ---->

a = 2 34 34 + 9 and b = a a=2^{34-34}+9 \quad \text{and} \quad b=a

a = 2 0 + 9 and b = a a=2^0+9 \quad \text{and} \quad b=a

a = 1 + 9 = 10 and b = a = 10 a=1+9=10 \quad \text{and} \quad b=a=10

Now, d = a b = 10 10 = 1 \large d=\frac{a}{b}=\frac{10}{10}=1

So, C = a b d = 10 × 10 1 = 100 = ± 10 \large C=\frac{\sqrt{ab}}{d}=\frac{\sqrt{10\times 10}}{1}=\sqrt{100}=\boxed{\pm 10}

But, since here only the positive answer is accepted as the correct answer, so the correct answer = 10 =\boxed{10}

Sorry but i guess that (sqrt)X^2 = +X and NOT -X .Correct me if i am wrong.

pranav jangir - 7 years, 1 month ago

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Consider 2 real nos, x x and ( x ) (-x) . Now, if you square them, you get x 2 x^2 for both of them. So, from definition of square root, we can say both x x and ( x ) (-x) are square roots of x 2 x^2 . Actually, when we generally square root a number x x , we generally take the principal positive square root as the answer but mathematically both the positive and the negative values are correct answers.

Prasun Biswas - 7 years ago
Ikhlaas Ishmael
Nov 14, 2015

So, if a = b a=b and d = a b d=\frac{a}{b} ,

then, d = a a = 1 d=\frac{a}{a}=1

hence, C = a b d = a 2 1 = a C=\frac{\sqrt{ab}}{d}=\frac{\sqrt{a^2}}{1}=a

therefore, C = 2 34 34 + 9 = 2 0 + 9 = 1 + 9 = 10 C=2^{34-34}+9=2^0+9=1+9=10\leftarrow

Very very simple.

34-34=0

Simple so far???? Good.

2 to the power of zero=1

(Any number to the power of zero is 1, don't ask me how.)

1+9=10

See!! I told you it was easy!!!

a=10

b=a, or b=10

d=a/b

d=10/10

d=1

Look at how simple this is!!

c= square root of ab/d

c= square root of 10*10/1

c=square root of 100/1

c=10/1

C=10

Tan Le
Jan 3, 2015

2 34 34 = 2 0 = 1 2^{34-34} = 2^{0} = 1 , thus a = 1 + 9 = 10 a = 1 + 9 = 10

b = a b = a , so b = 10 b = 10

a b = 10 10 = 1 \frac{a}{b} = \frac{10}{10} = 1 , thus d = 1 d = 1

a b = 10 × 10 = 10 \sqrt{ab} = \sqrt{10 \times 10} = 10

d = 1 d = 1 , so C = 10 1 = 10 C = \frac{10}{1} = 10

Rahma Anggraeni
May 22, 2014

a = 2 34 34 + 9 a=2^{34-34}+9

a = 2 0 + 9 a=2^{0}+9

a = 1 + 9 a=1+9

a = 10 a=10

b = 10 b=10

d = a b d=\frac{a}{b}

d = 10 10 d=\frac{10}{10}

d = 1 d=1

C = a b d C=\frac{\sqrt{ab}}{d}

C = 100 1 C=\frac{\sqrt{100}}{1}

C = 10 C=\boxed{10}

Faaiq Awang
Mar 29, 2014

a = 10 ,, b = 10 ,, d =1 ,, c = ((a*b) ^ (1/2)) / d,, therefore.. (100 ^ (1/2)) / 1 = 10..

Imran Ansari
Mar 27, 2014

given a=b therfore a=2^0 + 9 = 10 a=10 on solving C=a therefore C=10

Pakiza Idrees
Mar 22, 2014

c=b/b/a c=1/1/a and a=2*0+9=1=9=10 so c=10

Shrinu Patro
Mar 19, 2014

a=1+9=10=b d=a/b=a/a=1 C=a/1=10/1=10

Samah Abdelhameed
Mar 12, 2014

a=10 b=a=10 d=1 c=10/1=10

Jeyakumar Jp
Mar 11, 2014

where a=2^34-34 + 9. anything power zero is equal to 1.so 34-34=0. a=1+9=10; b=a:d=a/b. to find c=10/1=10.

a=2^(34-34)+9=1+9=10,b=10,d=10/10=1,c=10

Fasla P A - 7 years, 3 months ago

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