Test Index

AP TET Paper 1 Model Test 4

© examsnet.com

Question : 101 of 150

Marks: +1, -0

Find the value of

\sqrt{\frac{1.44\times 0.81}{0.9\times 3.6}}

0.6
0.5
1
0.75

Solution:

Concept:

Simplify the expression inside the square root by converting all decimals to fractions, then cancel common factors.

Explanation:

Step 1: Start with

\sqrt{\frac{1.44 \times 0.81}{0.9 \times 3.6}}

.

Step 2: Write decimals as fractions:

1.44 = \frac{144}{100}

,

0.81 = \frac{81}{100}

,

0.9 = \frac{9}{10}

,

3.6 = \frac{36}{10}

.

Step 3: Substitute:

\sqrt{ \frac{ \frac{144}{100} \times \frac{81}{100} }{ \frac{9}{10} \times \frac{36}{10} } } = \sqrt{ \frac{144 \times 81}{100 \times 100} \times \frac{10 \times 10}{9 \times 36} }

.

Step 4: Cancel:

144 \div 9 = 16

,

81 \div 36 = \frac{9}{4}

, and

\frac{100 \times 100}{10 \times 10} = 100

. So we get

\sqrt{ 16 \times \frac{9}{4} \times \frac{1}{100} } = \sqrt{ \frac{144}{4} \times \frac{1}{100} } = \sqrt{ \frac{36}{100} }

.

Step 5: Simplify:

\sqrt{\frac{36}{100}} = \frac{6}{10} = 0.6

.

Answer:

A. 0.6

© examsnet.com

Go to Question:

Prev Question

Next Question