$[(7.99)^{2} - (13.001)^{2} + (4.01)^{3}]^{2} = ?$

-1800

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1450

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-1660

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1660

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-1450

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Solution

The correct option is D 1660
Here, the given expression can also be written as
$[(8)^{2} - (13)^{2} + (4)^{3}]^{2} = ?$
or $? = [64 - (169) + 64]^{2}$
or $? = [128 - 169]^{2}$
or $? = [- 41]^{2} = 1681 \approx 1660$

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Similar questions

Q. Find the approximate value of

(4.01)^{3}

Using the given pattern, find the missing numbers.
$1^{2} + 2^{2} + 2^{2} = 3^{2}$
$2^{2} + 3^{2} + 6^{2} = 7^{2}$
$3^{2} + 4^{2} + 12^{2} = 13^{2}$
$4^{2} + 5^{2} + . . .^{2} = 21^{2}$
$5^{2} + . . .^{2} + 30^{2} = 31^{2}$
$6^{2} + 7^{2} + . . . .^{2} = . . . .^{2}$ .

Q. What is the stability order of the following species?

O_{2}^{2 +}

O_{2}^{+}

O_{2}

O_{2}^{-}

O_{2}^{2 -}

Using the given pattern, find the missing numbers.

1² + 2² + 2² = 3²

2² + 3² + 6² = 7²

3² + 4² + 12² = 13²

4² + 5² + _ ² = 21²

5² + _ ² + 30² = 31²

6² + 7² + _ ² = __²

Question 6
Using the given pattern, find the missing numbers:
$1^{2} + 2^{2} + 2^{2} = 3^{2}$
$2^{2} + 3^{2} + 6^{2} = 7^{2}$
$3^{2} + 4^{2} + 12^{2} = 13^{2}$
$4^{2} + 5^{2} + {- --- -}^{2} = 21^{2}$
$5^{2} + {- --- -}^{2} + 30^{2} = 31^{2}$
$6^{2} + 7^{2} + - --- - 2 = - --- - 2$

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[(7.99)2−(13.001)2+(4.01)3]2=?

The correct option is D 1660Here, the given expression can also be written as [(8)2−(13)2+(4)3]2=? or ?=[64−(169)+64]2 or ?=[128−169]2 or ?=[−41]2=1681≈1660

$[(7.99)^{2} - (13.001)^{2} + (4.01)^{3}]^{2} = ?$

The correct option is D 1660
Here, the given expression can also be written as
$[(8)^{2} - (13)^{2} + (4)^{3}]^{2} = ?$
or $? = [64 - (169) + 64]^{2}$
or $? = [128 - 169]^{2}$
or $? = [- 41]^{2} = 1681 \approx 1660$