2-16 - a-2-The value of a is -

Given, nbsp; 2×√(16) = a×√(2) Take LHS side: nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; n ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Cube Roots

2×√16 = a×√2....

Question

$2 \times \sqrt[3]{16} = a \times \sqrt[3]{2}$ .
The value of a is .

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 4
Given,
$2 \times \sqrt[3]{16} = a \times \sqrt[3]{2}$

Take LHS side:

$⟹ 2 \times \sqrt[3]{16} = a \times \sqrt[3]{2}$
$⟹ 2 \times \sqrt[3]{2 \times 2 \times 2 \times 2} = a \times \sqrt[3]{2}$
$⟹ 2 \times 2 \times \sqrt[3]{2} = a \times \sqrt[3]{2}$
$⟹ 4 \times \sqrt[3]{2} = a \times \sqrt[3]{2}$

$∴ a = 4$

Suggest Corrections

Similar questions

Q. If

a + 2 b - c = 0

and

a \times b + b \times c + c \times a = λ (a \times b)

, then the value of

λ

is equal to

Q. Let

\to a, \to b, \to c

be unit vectors such that

\to a

is perpendicular to the plane of

\to b

and

\to c

.If the angle between

\to b

and

\to c

\frac{π}{3}

, then

∣ ∣ ∣ \to a \times \to b - \to a \times \to c ∣ ∣ ∣ =

Q. For any vectors

\to a

, the value of

(\to a \times^i)^{2} + (\to a \times^j)^{2} + (a \times^k)^{2}

is equal to?

Q. let

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

be unit vectors. Let

¯ ¯ b

and

¯ ¯ c

are inclined to

¯ ¯ ¯ a

each at

θ

. If the angle between

¯ ¯ b

and

¯ ¯ c

\frac{π}{3}

then which is/are correct, given that

x = (¯ ¯ ¯ a \times ¯ ¯ b) . (¯ ¯ ¯ a \times ¯ ¯ c)) . y = | ¯ ¯ ¯ a \times ¯ ¯ b - ¯ ¯ ¯ a \times ¯ ¯ c |

Q. Let

\to a, \to b

and

\to c

be three non-zero vectors such that no two of them are collinear and

(\to a \times \to b) \times \to c = \frac{1}{3} | \to b | | \to c | \to a

. If

θ

is the angle between vectors

\to b

and

\to c

, then a value of

sin θ

Join BYJU'S Learning Program

2×3√16=a×3√2. The value of a is .

The correct option is A 4Given, 2×3√16=a×3√2 Take LHS side: ⟹2×3√16=a×3√2 ⟹2×3√2×2×2×2=a×3√2 ⟹2×2×3√2=a×3√2 ⟹4×3√2=a×3√2 ∴a=4

$2 \times \sqrt[3]{16} = a \times \sqrt[3]{2}$ .
The value of a is .