If n is a positive whole number write (n square root 15 – square root 5)^2 in the form a+b square root 3

Here is your answer,

Q. If the √2 = 1.414 , √5 = 2.236 and √3 = 1.732 ,find the value of -

\begin{gathered}(1) \: \: \sqrt{72} + \sqrt{48} \\ \\ \sqrt{2 \times 2 \times 2 \times 3 \times 3} + \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ \\ 6 \sqrt{2} + 4 \sqrt{3} \\ \\ 6 \times 1.414 + 4 \times 1.732 \\ \\ 8.484 + 6.928 \\ \\ 15.412\end{gathered}

(1)

72

+

48

2×2×2×3×3

+

2×2×2×2×3

6

2

+4

3

6×1.414+4×1.732

8.484+6.928

15.412

\begin{gathered}(2) \: \: \sqrt{ \frac{125}{64} } \\ \\ \frac{ \sqrt{125} }{ \sqrt{64} } \\ \\ \frac{ \sqrt{5 \times 5 \times 5} }{ \sqrt{8 \times 8} } \\ \\ \frac{5 \sqrt{5} }{8} \\ \\ \frac{5 \times 2.236}{8} \\ \\ \frac{11.180}{8} \\ \\ 1.3975\end{gathered}

(2)

64

125

64

125

8×8

5×5×5

8

5

5

8

5×2.236

8

11.180

1.3975

Hence,

\begin{gathered}(1) \: \: \sqrt{72} + \sqrt{48} = 15.412 \\ \\ (2) \: \: \sqrt{ \frac{125}{64} } = 1.3975\end{gathered}

(1)

72

+

48

=15.412

(2)

64

125

=1.3975

Hope it helps.

darn right!

step-by-step explanation:

steve kerr's sons name is let that skin in.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47