Identify the property being applied-3-7-10-3-7 -10

The correct option is C Associative Property of MultiplicationAssociative property states that nbsp;no matter how you group the terms in a problem, the answe ...

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

Byju's Answer

Standard IX

Mathematics

Multiplication of Surds

Identify the ...

Question

Identify the property being applied.

$\sqrt{3} (\sqrt{7} \times \sqrt{1} 0) = (\sqrt{3} \times \sqrt{7}) \sqrt{10}$

Associative Property of Addition

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

Commutative Property of Multiplication

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

Associative Property of Multiplication

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

Distributive Property

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

Open in App

Solution

The correct option is C Associative Property of Multiplication
Associative property states that no matter how you group the terms in a problem, the answer will remain same.
i.e.
a + (b + c) = (a + b) + c or a (b x c) = (a x b) c

Here $\sqrt{3} (\sqrt{7} \times \sqrt{1} 0) = (\sqrt{3} \times \sqrt{7}) \sqrt{10}$

Hence the given equation illustrates the associative Property of Multiplication.

Suggest Corrections

Similar questions

Q. Use property to evaluate:

7^{3} + 3^{3} + (- 10)^{3}

Q. Name the property under multiplication used in each of the following:
(i)

\frac{2}{3} \times \frac{4}{5} = \frac{4}{5} \times \frac{2}{3}

(ii)

(\frac{- 3}{4}) \times 1 = \frac{- 3}{4} = 1 \times (\frac{- 3}{4})

(iii)

(\frac{- 17}{28}) \times (\frac{- 28}{17}) = 1

(iv)

\frac{1}{5} \times (\frac{7}{8} \times \frac{4}{3}) = (\frac{1}{5} \times \frac{7}{8}) \times \frac{4}{3}

(v)

\frac{2}{7} \times (\frac{9}{10} + \frac{2}{5}) = \frac{2}{7} \times \frac{9}{10} + \frac{2}{7} \times \frac{2}{5}

Q. Which property is being used in the following

\frac{2}{3}

\frac{4}{7}

\frac{4}{7}

\frac{2}{3}

Q. Identify the property of A.P. used in the sequence:

(3 - x), (5 - x), (7 - x), (9 - x)

Q. The property under addition used in each of the following are
(i)

(\frac{- 3}{7}) + \frac{1}{9} = \frac{1}{9} + (\frac{- 3}{7})

(ii)

\frac{4}{9} + (\frac{7}{8} + \frac{1}{2}) = (\frac{4}{9} + \frac{7}{8}) + \frac{1}{2}

(iii)

8 + \frac{7}{10} = \frac{7}{10} + 8

(iv)

(\frac{- 7}{15}) + 0 = \frac{- 7}{15} = 0 + (\frac{- 7}{15})

(v)

\frac{2}{5} + (\frac{- 2}{5}) = 0

(i) Commutative
(ii) Associative
(iii) Commutative
(iv) Additive identity
(v) Additive inverse.

Join BYJU'S Learning Program

Identify the property being applied. √3(√7×√10)=(√3×√7)√10

Identify the property being applied.

$\sqrt{3} (\sqrt{7} \times \sqrt{1} 0) = (\sqrt{3} \times \sqrt{7}) \sqrt{10}$