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\( \Large \frac{2.3 \times 2.3 \times 2.3-1}{2.3 \times 2.3+2.3+1} \) is equal to:

A) 1.3
B) 3.3
C) 0.3
D) 2.2

Correct Answer:

A) 1.3

Description for Correct answer:
\( \Large \frac{2.3 \times 2.3 \times 2.3-1}{2.3 \times 2.3+2.3+1} \)

\( \Large a=2.3

b=1 \)

=\( \Large \frac{a^{3}-b^{3}}{a^{2}+ab+b^{2}} \)

=\( \Large \frac{ \left(a-b\right) \left(a^{2}+ab+b^{2}\right) }{\left(a^{2}+ab+b^{2}\right)} \)

=\( \Large 2.3-1=1.3 \)

Part of solved Indices and Surd questions and answers : >> Elementary Mathematics >> Indices and Surd

Comments

Similar Questions

1). The ascending order of \( \Large \left(2.89\right)^{0.5},2- \left(0.5\right)^{2},\sqrt{3} and \sqrt[3]{0.008} \) is:

A). \( \Large 2- \left(0.5\right)^{2},\sqrt{3},\sqrt[3]{0.008}, \left(2.89\right)^{0.5} \)

B). \( \Large \sqrt[3]{0.008}, \left(2.89\right)^{0.5},\sqrt{3}, 2- \left(0.5\right)^{2} \)

C). \( \Large \sqrt[3]{0.008},\sqrt{3},\left(2.89\right)^{0.5}, 2- \left(0.5\right)^{2} \)

D). \( \Large \sqrt{3},\sqrt[3]{0.008},2- \left(0.5\right)^{2},\left(2.89\right)^{0.5} \)

2). The greatest onr of the \( \Large \sqrt{2},\sqrt[3]{3},\sqrt[6]{6},\sqrt[5]{5} \) is:

A). \( \Large \sqrt{2} \)

B). \( \Large \sqrt[3]{3} \)

C). \( \Large \sqrt[6]{6} \)

D). \( \Large \sqrt[5]{5} \)

3). Given \( \Large \sqrt{2} =1.414\).The valueof \( \Large \sqrt{8} +2\sqrt{32}-3\sqrt{128}+4\sqrt{50}\) is:

A). 8.484

B). 8.526

C). 8.426

D). 8.876

4). If \( \Large \sqrt{15} =3.88\),then what is the value of \( \Large \sqrt{\frac{5}{3}} \).

A). 1.29333....

B). 1.2934

C). 1.29

D). 1.295

5). The ratinalising factor of \( \Large 3\sqrt{3} \) is:

A). \( \Large \frac{1}{3}\)

B). 3

C). -3

D). \( \Large \sqrt{3} \)

6). \( \Large \sqrt{2+\sqrt{2+\sqrt{2+...}}} \) is equal to:

A). \( \Large \sqrt{2} \)

B). \( \Large 2\sqrt{2}\)

C). 2

D). 3

7). The value of\( \Large 2+\sqrt{0.09}-\sqrt[3]{0.008}-7%\) of 2.80 is:

A). 0

B). 0.01

C). -1

D). 0.001

8). The value of \( \Large \left(\sqrt[3]{3.5}+\sqrt[3]{2.5}\right) \{ \left(\sqrt[3]{3.5}\right)^{2}-\sqrt[3]{8.75} + \left(\sqrt[3]{2.5}\right)^{2} \} \) is:

A). 5.375

B). 1

C). 6

D). 5

9). The value of \( \Large \left(3+2\sqrt{2}\right)^{-3}+ \left(3-2\sqrt{2}\right)^{-3} \) is:

A). 189

B). 180

C). 108

D). 198

10). \( \Large \frac{\sqrt{5}}{\sqrt{3}+\sqrt{2}}-\frac{3\sqrt{3}}{\sqrt{5}+\sqrt{2}}+\frac{2\sqrt{2}}{\sqrt{5}+\sqrt{3}} \) is equal to:

A). 0

B). \( \Large 2\sqrt{15} \)

C). \( \Large 2\sqrt{10} \)

D). \( \Large 2\sqrt{6} \)