hi help me in this question(b) 4√28 ÷3√7.
Answers
Step-by-step explanation:
2.67 is the value of 4 \sqrt{28} \div 3 \sqrt{7}4
28
÷3
7
To find:
The value of 4 \sqrt{28} \div 3 \sqrt{7}4
28
÷3
7
Solution:
We have to find the value of 4 \sqrt{28} \div 3 \sqrt{7}4
28
÷3
7
So first we need to expand the values within the square root and then the square numbers can be taken out and then the equation becomes simplified.
=\frac{4 \sqrt{28}}{3 \sqrt{7}}=
3
7
4
28
=\frac{4 \sqrt{4 \times 7}}{3 \sqrt{7}}=
3
7
4
4×7
As we know that the value of,
[Since, the square root value of 4 is 2]
=\frac{4 \times 2 \sqrt{7}}{3 \sqrt{7}}=
3
7
4×2
7
=\frac{8 \sqrt{7}}{3 \sqrt{7}}=
3
7
8
7
\sqrt{7}
7
in the denominator and the numerator place can be cancelled each other.
Therefore,the above equation becomes
=\frac{8}{3}=
3
8
=2.67
Hence the value of 4 \sqrt{28} \div 3 \sqrt{7}4
28
÷3
7
is 2.67