The value of 3-54- 2-2- is-3-2-2-2-3-9-3-2-2-3-

The correct option is C 9√(3)/2 3√(54)÷ 2√(2) =3√(54)/2√(2) =3(3√(6))/2√(2) =9√(2)√(3)/2√(2) =9√(3)/2 ...

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

Byju's Answer

Standard IX

Mathematics

The value of ...

Question

The value of $3 \sqrt{54} \div 2 \sqrt{2}$ is

$\frac{2 \sqrt{2}}{3}$

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

$\frac{9 \sqrt{3}}{2}$

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

$\frac{\sqrt{3}}{2}$

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

$\frac{\sqrt{2}}{3}$

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

Open in App

Solution

The correct option is B
$\frac{9 \sqrt{3}}{2}$

$3 \sqrt{54} \div 2 \sqrt{2}$
= $\frac{3 \sqrt{54}}{2 \sqrt{2}}$
= $\frac{3 (3 \sqrt{6})}{2 \sqrt{2}}$

= $\frac{9 \sqrt{2} \sqrt{3}}{2 \sqrt{2}}$
= $\frac{9 \sqrt{3}}{2}$

Suggest Corrections

Similar questions

Q. The value of

\sqrt{3 - 2 \sqrt{2}}

is
(a)

\sqrt{3} + \sqrt{2}

(b)

\sqrt{3} - \sqrt{2}

(c)

\sqrt{2} + 1

(d)

\sqrt{2} - 1

Q. The value of

\sqrt{3 - 2 \sqrt{2}}

is

(a)

\sqrt{2} - 1

(b)

\sqrt{2} + 1

(c)

\sqrt{3} - \sqrt{2}

(d)

\sqrt{3} + \sqrt{2}

Find the value of.

(i) (3⁰ + 4⁻¹) × 2² (ii) (2⁻¹ × 4⁻¹) ÷2⁻²

(iii) (iv) (3⁻¹ + 4⁻¹ + 5⁻¹)⁰

(v)

Q. Find the value of:
(i)

(3^{0} + 4^{- 1}) \times 2^{2}

(ii)

(2^{- 1} \times 4^{- 1}) \div 2^{- 2}

(iii)

{(\frac{1}{2})}^{- 2} + {(\frac{1}{3})}^{- 2} + {(\frac{1}{4})}^{- 2}

(iv)

{(3^{- 1} + 4^{- 1} + 5^{- 1})}^{0}

(v)

{({(\frac{- 2}{3})}^{- 2})}^{2}

Q. The maximum value of

\sin^{2} (\frac{2 π}{3} + x) + \sin^{2} (\frac{2 π}{3} - x)

is
(a) 1/2
(b) 3/2
(c) 1/4
(d) 3/4

Join BYJU'S Learning Program

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

The value of 3√54÷2√2 is

The correct option is B 9√32 3√54÷2√2 =3√542√2 =3(3√6)2√2 =9√2√32√2 =9√32

The value of $3 \sqrt{54} \div 2 \sqrt{2}$ is

The correct option is B
$\frac{9 \sqrt{3}}{2}$

$3 \sqrt{54} \div 2 \sqrt{2}$
= $\frac{3 \sqrt{54}}{2 \sqrt{2}}$
= $\frac{3 (3 \sqrt{6})}{2 \sqrt{2}}$

= $\frac{9 \sqrt{2} \sqrt{3}}{2 \sqrt{2}}$
= $\frac{9 \sqrt{3}}{2}$