Question

6.
If the compound ratio of 5: 8 and 3:7 is 45 : x. Find the value of x.
Find the square root of 784 by prime factorization method.​

Answer 1

Step-by-step explanation:

Given:-

5:8 and 3:7 = 45:x

To Find:-

The Value of x = ?

Calculation:-

To Find the Compound Ratio of the Hiven Fractions:

$\frac{5}{8} \times \frac{3}{7} = \frac{15}{56}$

5:8 and 3:7 = 15/56

$therefore$

$\: \: \: \: \: \: \: \: \frac{15}{56} = \frac{45}{x}$

$by \: cross \: multiplication$

$15 \times x = 45 \times 56$

$x = \frac{45 \times 56}{15}$

$x = \frac{2520}{15}$

$x = 168$

$square \: root \: of \: 784 \: by \: prime \: factorization$

$784 = 2 \times 2 \times 2 \times 2 \times 7 \times 7$

$2 \times 2 \times 7$

$28$

$\sqrt{784} = 28$

$1st \: ans \: is \: 168$

$2nd \: answer \: is \: 28$

$thanks$